104
Assertion - Reason Based Questions : In question numbers $19$ and $20$, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option out of the following :
(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.
Statement A (Assertion) : For $0 < \theta \leq 90^{\circ}$, $\text{cosec } \theta - \cot \theta$ and $\text{cosec } \theta + \cot \theta$ are reciprocal of each other.
Statement R (Reason) : $\text{cosec}^2 \theta - \cot^2 \theta = 1$
(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.
Statement A (Assertion) : For $0 < \theta \leq 90^{\circ}$, $\text{cosec } \theta - \cot \theta$ and $\text{cosec } \theta + \cot \theta$ are reciprocal of each other.
Statement R (Reason) : $\text{cosec}^2 \theta - \cot^2 \theta = 1$
Show SolutionHide Solution↓
(A)