MATHS Assertion (A) & Reason (B) MCQ

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The points A(9, 0), B(9, 6), C(-9, 6) and D(-9, 0) are the vertices of a Rectangle.
Reason: AB = CD and BC = AD hence given points A, B, C and D are the vertices of a rectangle.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Reflection of a point P(x, y) across the X - axis is Q(x, -y), which is found by changing the sign of the y - coordinate of P(x, y).
Reason: Reflection of a point P(x, y) across the Y - axis is Q(-x, y), which is found by changing the sign of the x - coordinate of P(x, y).

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The points (-6, -7) lies in III qudrant.
Reason: The signs of point inthe I, II, III, IV quadrants are (+, +), (-, +), (-, -), (+, -).

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The points (-7, 2) and (2, -7) are at different positions in the coordinate plane.
Reason: The perpendicular distance of the point A (5, 6) from the y - axis is 6.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Point A(-7, -9) lies on III quadrant.
Reason: A point both of whose coordinates are negative lies in III quadrant.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: A Cartesian plane consists of two mutually perpendicular lines intersecting at their zeros.
Reason: The Cartesian plane consists of two perpendicular and directed lines whose intersection point is the zero point for both the lines.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If x ≠ y, then the position of (x, y) in the Cartesian plane is different from the position of (y, x).
Reason: A point is in the 1st quadrant, then the point will be in the form (+, +).

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: (x, y) shows three dimensional co - ordinate system.
Reason: Ordinate of all points in the x - axis is -1.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The equation of line parallel to y - axis is x = k.
Reason: The coordinate pair (x, y) is called as ordered pair.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Point (4, -2) lies in IV quadrant.
Reason: Point (-1, 2) lies in Il-quadrant and (2, -1) lies in IV quadrant.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The point P on x - axis equidistant from the points A ( -1, 0)and B (5, 0) is (2, 0).
Reason: The point P on x - axis equidistant from the points A ( -1, 0) and B (5, 0) is (2, 0).

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The horizontal line is called x - axis.
Reason: The vertical line is called x - axis.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The distance of the point P(2, 3) from the x - axis is 3.
Reason: The distance from the x - axis is equal to its ordinate.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: A point both of whose coordinates are negative will lie in third quadrants.
Reason: If the ordinate of a point is equal to its abscissa, then the point lies either in the first quadrant or in the second quadrant.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the perpendicular distance of a point P from the x - axis is 7 units and the foot of the perpendicular lies on the negative direction of x - axis, then the point P has y coordinate is 7 or -7 only.
Reason: The coordinates of any point on the y - axis are of the form (0, k), where |k| is the distance of the point from the x - axis.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The mirror image of the point A(4, 5) in the y - axis is A'(-4, 5).
Reason: The point (0, -6) lies in III quadrant.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The perpendicular distance  of the point (5, 6) from x - axis is 6.
Reason: The perpendicular distance of the point (2, 3) from y - axis is 2.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: A point whose abscissa is 2 and ordinate is -3 lies in fourth quadrant.
Reason: Points of the type (-; +) lie in the second quadrant.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The points (-1, -5) lies in III quadrant.
Reason: In III quadrant (x, y) is (-, -).

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: (-7, 0) the point on the x - axis which is equidistant from (2, -5) and (- 2, 9).
Reason: 5 or -6 are the values of y for which the distance between the points P(2, -3) and Q(10, y) is 10 units.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The coordinate of origin are (0, 0).
Reason: The distance from the y - axis is called y co - ordinate.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is 11.
Reason: The area of a triangle with vertices A(3, 0), B(7, 0) and C(8, 4) is 6.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the point P(x, y) is equidistant from the points A(a + b, b - a) and B(a - b, a + b), then bx = ay.
Reason: If the points A(x, y), B(3, 6) and C(-3, 4) are collinear, then x - 3y + 15 = 0.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: ab scissa of all points on y - axis is 0.
Reason: Ordinate of all points on y - axis is any number.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The point M lies in the IV quadrant. The coordinates of point M are(a, -b).
Reason: The number of parts the coordinates axes divide the plane is four quadrant.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The point (+4, +5) is lies in 2nd quadrant.
Reason: The point (0, -5) lies in x - axis.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the points P(1, 2), B(0, 0) and C(a, b) are collinear, then 2a = b.
Reason: If the distance between the points (x, -1) and (3, 2) is 5, then the value of x ib 7.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The section formed by horizontal and vertical  lines determining the poisition of a point in a Cartesian plane is called quadrant.
Reason: The point of intersection of horizontal and vertical  line determining the position of point in a Cartesian plane is called origin.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The coordinates describe the points in the plane uniquely.
Reason: In second quadrant (x, y) is (+, +).

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: 3x + 4y = 7 is the equation of a line parallel to 3x + 4y = 5 and passing through points (1, 1).
Reason: Mid - point divides the given line in the ratio of 1 : 1.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The point (x, y) lies in the I quadrant where x < 0, y < 0.
Reason: In 11 : 10 ratio is the line segment joining (-2, 4) and (-3, 2) divided by the line x - y = 5.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The ordinate of a point A on y - axis is 5 and B has coordinates (-3, 1). Then the length of AB is 5 units.
Reason: The points o(0, 0) lies in quadrant I

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Abscissa of a point is positive in I and IV quadrant.
Reason: If (x + 2, 4) = (5, y - 2), then coordinates (x, y) are (3, 6).

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: (3,4) is the coordinates of the circum - centre of the triangle whose vertices are (0, 0), (8, 0) and (0, 6).
Reason: The distance of the point P(-6, 8) from the origin is 10

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Ordinate 3 and absicca 6 the this point lie in I quadrant.
Reason: absicca 7 and ordinate -4 the the point lie in IV quadrant.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.