Maths 1 Marks Question

Points A (-1, y) and B (5, 7) lie on a circle with centre O (2,-3y) such that AB is a diameter of the circle. Find the value of y. Also, find the radius of the circle.

A (3, 0), B (6, 4) and C (-1, 3) are vertices of a triangle ABC. Find the length of its median BE.

In what ratio is the line segment joining the points (3, -5) and (-1, 6) divided by the line y = x?

Find the type of triangle ABC formed whose vertices are A (1, 0), B (-5, 0) and C (-2, 5).

A line intersects y-axis and x-axis at point P and Q respectively. If R (2, 5) is the mid-point of line segment PQ, then find the coordinates of P and Q.

Point P (x, y) is equidistant from points A (5, 1) and B (1, 5). Prove that x = y.

The line segment joining the points A (4, -5) and B (4, 5) is divided by the point P such that AP: AB = 2: 5. Find the coordinates of P.

Find the value(s) of x, if the distance between the points A(0, 0) and B(x, - 4) is 5 units.

Write the coordinates of a point P on x-axis which is equidistant from the point A(- 2, 0) and B(6, 0).

Find the distance of a point P(x,y) from the origin.

If the distance between the points (4, k) and (1, 0) is 5, then what can be the possible value of k?

What is the distance between the points A (c, 0) and B (0, - c)'?

It P(2,6) is the mid-point of the line segment joining A (6, 5) and B (4, y), find y.

If the distance between the points (3, 0) and (0, y) is 5 units and y is positive, then what is the value of y?

It P(2,p) is the mid-point of the line segment joining the points A (6, -5) and B (-2, 11), find the value of p.

If A (1, 2), B (4, 3) and C(6,6) are the three vertices of a parallelogram ABCD, find the coordinates of fourth vertex D.

Find the distance between the points (-8/5, 2) and (2/5, 2).

Find the value of a so that the point (3, a) lies on the line represented by 2x-3y-5=0.

What are the coordinates of the point where the perpendicular bisector of the line segment joining the points A(1, 5), and B(4, 6) cuts the y-axis?

If points Q and R reflections of point P (-3, 4) in X and Y axes respectively, what is QR?

If the centroid of the triangle formed by points P (a, b), Q (b, c) and R (c, a) is at the origin, what is the value of a + b + c?

Write the coordinates the reflections of point (3, 5) in x and y-axes.

Two vertices of a triangle have coordinates (-8, 7) and (9, 4). If the centroid of the triangle is at the origin, what are the coordinates of the third vertex?

If the mid-point of the segment joining A (x, y + 1) and B (x + 1, y + 2) is C (3/2, 5/2), find x, y.

If A (-1, 3), B (1, -1) and C (5, 1) are the vertices of a triangle ABC, what is the length of the median through vertex A?

Write the perimeter of the triangle formed by the points O (0, 0), A (a, 0) and B (0, b).

Write the distance between the points A (10 cos 0, 0) and B (0, 10 sin 0).

Write the ratio in which the line segment joining points (2, 3) and (3, -2) is divided by x-axis.

What is the distance between the points (5 sin 60°, 0) and (0, 5 sin 30°)?

If the distance between points (x, 0) and (0, 3) is 5, what are the values of x?

Write the coordinates of the point dividing line segment joining points (2, 3) and (3, 4) internally in the ratio 1:5.

Write the coordinates of a point on x-axis which is equidistant from the points (-3, 4) and (2, 5).

Find the values of x for which the distance between the point P (2,-3) and Q(x, 5) is 10.

Write the ratio in which the line segment doining the points A (3,-6) and B (5, 3) is divided by x-axis.