Question

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

Assertion (A): The value of $\sin {30}^{\circ }$ $+$ $\cos {60}^{\circ }$ is 1.
Reason (R): $si{n}^2\theta$ $+$ $co{s}^2\theta =1$

(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.

Answer 1

Answer: (B)

$\sin {30}^{\circ }$ $+$ $\cos {60}^{\circ }$
$=$ $\frac{1}{2}$ $+$ $\frac{1}{2}$
$=$ $1$

So, assertion is true.
[1 mark]


We know that, $si{n}^2\theta$ $+$ $co{s}^2\theta =1$
So, reason is also true.
[0.5 marks]

But it is not the correct explanation for the given assertion.

Hence, both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).
[0.5 marks]