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Assertion and Reason Questions for Class 10 Maths Chapter 7 Coordinate Geometry

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Assertion and Reason Questions for Class 10 Maths Chapter 7 Coordinate Geometry

Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.

Q.1. Assertion (A): The point (–1, 6) divides the line segment joining the points (–3, 10) and (6, –8) in the ratio 2 : 7 internally.
Reason (R): Given three points, i.e. A, B, C form an equilateral triangle, then AB = BC = AC.

Answer Answer: (b)

Q.2. Assertion (A): The point (0, 4) lies on y-axis.
Reason (R): The x-coordinate on the point on y-axis is zero.

Answer Answer: (a)

Q.3. Assertion (A): The value of y is 6, for which the distance between the points P(2, –3) and Q(10, y) is 10.
Reason (R): Distance between two given points A (x1, y1) and B (x2, y2) is given by

Answer Answer: (d)

Q.4. Assertion (A): Mid-point of a line segment divides line in the ratio 1 : 1.
Reason (R): The ratio in which the point (–3, k) divides the line segment joining the points (–5, 4) and (–2, 3) is 1 : 2.

Answer Answer: (c)

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