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Question

If sinx+cosx=y2y+a has no value of x for any value of y then a belongs to

A
(,42+14)
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B
(,4214)
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C
(4214,)
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D
(42+14,)
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Solution

The correct option is D (42+14,)
y2y+a=(y12)2+a14
Since 2sinx+cosx2
the given equation will have no real value x for any y if a14>2
a(42+14,)

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