Question

# If A =, then A^{2} equals-

## The correct answer is:

### To find the value of for the given matrix A.

Given A =.

= x

=

Therefore, using matrix multiplication, = =

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Statement - I The value of x for which (sin x + cos x)^{1 + sin 2x} = 2, when 0 ≤ x ≤ , is only.

Statement - II The maximum value of sin x + cos x occurs when x =

In this question, we have to find the statements are the correct or not and statement 2 is correct explanation or not, is same as assertion and reason.

Statement - I The value of x for which (sin x + cos x)^{1 + sin 2x} = 2, when 0 ≤ x ≤ , is only.

Statement - II The maximum value of sin x + cos x occurs when x =

In this question, we have to find the statements are the correct or not and statement 2 is correct explanation or not, is same as assertion and reason.