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Question

Assertion :The equation sin2x+cos2y=2sec2z is only solvable when |sinx|=1,|cosy|=1 and |sinz|=1, where x,y,zR because Reason: Maximum value of |sinx| and |cosy| is 1 and minimum value of |secz| is 1

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Assertion is incorrect and Reason is incorrect
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Solution

The correct option is D Assertion is incorrect and Reason is incorrect
Maximum value of L.H.S of assertion is 2. and the minimum value of R.H.S is 2
and this will happen only if sin2x and cos2y attains its maximum value and sec2z attains its minimum value
i.e sinx=±1,cosy=±1 and secz=±1
So assertion is incorrect and reason is also incorrect.

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