Question

Assertion (A): The point $$P(-3, 2)$$ lies on the line segment joining the points $$A(-3, 5)$$ and $$B(-3, -5)$$.

Reason (R): The three points $$A, B$$ and $$P$$ lie on the line $$x = -4$$.

विकल्प

• Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

• Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

• Assertion (A) is true and Reason (R) is false.

• Assertion (A) is false and Reason (R) is true.

Answer 1

Assertion (A) is true and Reason (R) is false.

Explanation:

Step 1 – Assertion: A is true. All three points have abscissa $$-3$$ and the ordinate of P, $$2$$, lies between the ordinates $$5$$ and $$-5$$. Therefore, P lies on the segment AB.

Step 2 – Reason: R is false. The three points lie on the line $$x = -3$$, not on the line $$x = -4$$.