Question

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

Assertion: The value of y is 6, for which the distance between the points P(2, –3) and Q(10, y) is 10.

Reason: Distance between two given points A (x1,y1) and B (x2,y2) is given by √(x2−x1)²+(y2−y1)².


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.

Answer 1

The correct choice is B. Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).

Step-by-step explanation:

The correct choice for this question is B. Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).

In the given assertion, we are told that the value of y is 6 and the distance between the points P(2, -3) and Q(10, y) is 10. To find the distance between two points, we can use the distance formula: Distance = √((x2 - x1)^2 + (y2 - y1)^2). Substituting the given values, we have Distance = √((10 - 2)^2 + (y - (-3))^2) = √(64 + (y + 3)^2).

Reason (R) provides the formula to find the distance between two points, which is correct. However, it does not explain why the value of y is 6 or why the distance is 10. Therefore, reason (R) is not the correct explanation of assertion (A). Hence, the correct choice is B.