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Maths Assertion (A) & Reason (B) MCQ

Co-ordinate Geometry [NEW] · Gujarat Board (GSEB) STD 9 (GSEB - English Medium). 14 questions.

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Assertion (A) & Reason (B) MCQ

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14 questions · timed · auto-graded

MCQ 11 Mark
Statement-1 (A): The point P(-7, 0) lies on x-axis.
Statement-2 (R): The ordinate of every point on y-axis is positive.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  • ✓
    Statement-1 is true, Statement-2 is false.
  • D
    Statement-1 is false, Statement-2 is true.
Answer
Correct option: C.
Statement-1 is true, Statement-2 is false.
c
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MCQ 21 Mark
Statement-1 (A): The point $P(-7,0)$ lies on $x$-axis.
Statement-2 (R): The ordinate of every point on $y$-axis is positive.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement- 1 is true, Statement- 2 is true; Statement- 2 is not a correct explanation for Statement- 1.
  • ✓
    Statement-1 is true, Statement-2 is false.
  • D
    Statement- 1 is false, Statement-2 is true.
Answer
Correct option: C.
Statement-1 is true, Statement-2 is false.
C
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MCQ 31 Mark
Statement-1 (A): The point P (0, 12) lies on y-axis.
Statement-2 (R): The abscissa of every point on y-axis is zero.
  • ✓
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement-1 is true, Statement-2 is false.
  • D
    Statement-1 is false, Statement-2 is true.
Answer
Correct option: A.
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
a
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MCQ 41 Mark
Statement-1 (A): The point $P(0,12)$ lies on $y$-axis.
Statement-2 (R): The abscissa of every point on $y$-axis is zero
  • ✓
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement- 1 is true, Statement- 2 is true; Statement- 2 is not a correct explanation for Statement- 1.
  • C
    Statement-1 is true, Statement-2 is false.
  • D
    Statement- 1 is false, Statement-2 is true.
Answer
Correct option: A.
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
A
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MCQ 51 Mark
Statement-1 $(A)$ : The point $A(-4,0)$ lies on $x$-axis.
Statement-2 $(R)$ : Ordinate of every point on $x$-axis is zero.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1,
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement- 1 is true, Statement- 2 is false.
  • D
    Statement-1 is false, Statement-2 is true.
Answer
A.
Statement- 2 is true. The ordinate of point $A$ is zero. So, it lies on $x$-axis. Consequently, both the statement are true and statement-2 is a correct explanation for statement.Hence, option (a) is correct.
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MCQ 61 Mark
Statement-1 $(A)$ : The perpendicular distance of the point $P(4,-7)$ from $x$-axis is 4 .
Statement-2 (R): The perpendicular distance of a point from $x$-axis is the absolute value of its $y$-coordinate.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1,
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement- 1 is true, Statement- 2 is false.
  • D
    Statement-1 is false, Statement-2 is true.
Answer
D.
The statement-2 is correct. Using this, the perpendicular distance of the point $P(4,-7)$ from $x$-axis is 7. So, statement- 1 is not true. Hence, option (d) is correct.
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MCQ 71 Mark
Statement-1 (A): The perpendicular distance of the point $(3,-7)$ from $x$-axis is 3 .
Statement-2 (R): The perpendicular distance of the point $(x, y)$ from $x$-axis $|y|$.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement- 1 is true, Statement- 2 is true; Statement- 2 is not a correct explanation for Statement- 1.
  • C
    Statement-1 is true, Statement-2 is false.
  • ✓
    Statement- 1 is false, Statement-2 is true.
Answer
Correct option: D.
Statement- 1 is false, Statement-2 is true.
D
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MCQ 81 Mark
Statement-1 (A): The perpendicular distance of the point (3, -7) from x-axis is 3.
Statement-2 (R): The perpendicular distance of the point (x, y) from x-axis |y|.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement-1 is true, Statement-2 is false.
  • ✓
    Statement-1 is false, Statement-2 is true.
Answer
Correct option: D.
Statement-1 is false, Statement-2 is true.
d
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MCQ 91 Mark
Statement-1 (A): The coordinates of a point whose ordinate is -2 and abscissa is 5 are $(-2,5)$.
Statement-2 $( R )$ : The coordinates of a point lying on positive $x$-axis at a distance of 9 units from the origin are $(9,0)$.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement- 1 is true, Statement- 2 is true; Statement- 2 is not a correct explanation for Statement- 1.
  • C
    Statement-1 is true, Statement-2 is false.
  • ✓
    Statement- 1 is false, Statement-2 is true.
Answer
Correct option: D.
Statement- 1 is false, Statement-2 is true.
D
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MCQ 101 Mark
Statement-1 (A): The coordinates of a point whose ordinate is -2 and abscissa is 5 are (-2, 5).
Statement-2 (R): The coordinates of a point lying on positive x-axis at a distance of 9 units from the origin are (9, 0).
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement-1 is true, Statement-2 is false.
  • ✓
    Statement-1 is false, Statement-2 is true.
Answer
Correct option: D.
Statement-1 is false, Statement-2 is true.
d
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MCQ 111 Mark
Statement-1 $(A)$ : $\quad$ The point $P(0,-2)$ lies on $y$-axis.
Statement-2 (R): Ordinate of every point on $x$-axis is zero.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1,
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement- 1 is true, Statement- 2 is false.
  • D
    Statement-1 is false, Statement-2 is true.
Answer
B.
The abscissa of P is zero. So, it lies on $y$-axis. So, statement- 1 is true. Statement- 2 is also true. Hence, option (b) is correct.
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MCQ 121 Mark
Statement-1 $( A )$ : Points $(3,-3)$ and $(12,-4)$ lie in the same quadrant.
Statement-2 (R): Points $(-1,-1)$ and $(7,7)$ lie on the bisectors of third and first quadrant angles.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • ✓
    Statement- 1 is true, Statement- 2 is true; Statement- 2 is not a correct explanation for Statement- 1.
  • C
    Statement-1 is true, Statement-2 is false.
  • D
    Statement- 1 is false, Statement-2 is true.
Answer
Correct option: B.
Statement- 1 is true, Statement- 2 is true; Statement- 2 is not a correct explanation for Statement- 1.
B
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MCQ 131 Mark
Statement-1 (A): Points (3,3) and (12,4) lie in the same quadrant.
Statement-2 (R): Points (-1,-1) and (7, 7) lie on the bisectors of third and first quadrant angles.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • ✓
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement-1 is true, Statement-2 is false.
  • D
    Statement-1 is false, Statement-2 is true.
Answer
Correct option: B.
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
b
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MCQ 141 Mark
Statement-1 (A): Point $(-3,-3)$ lies on the angle bisectors of first and third quadrant angles.
Statement-2 (R): The numeric value of ordinate and abscissa of every point on the bisectors of first and third quadrant angles are equal.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1,
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement- 1 is true, Statement- 2 is false.
  • D
    Statement-1 is false, Statement-2 is true.
Answer
A.
Statement-2 is true, because every point on the bisectors of first and third quadrant angles is equidistant from the coordinate axes. As the ordinate and abscissa of $P$ are equal in magnitude. So, point $(-3,-3)$ lies on the bisector of third quadrant angle.
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Assertion (A) & Reason (B) MCQ - Maths STD 9 Questions - Vidyadip