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Q.

The equation sin6x+cos6x=a  has a real solution if

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a

12≤a≤1

b

14≤a≤1

c

−1≤a≤1

d

0≤a≤12

answer is B.

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Detailed Solution

1−34sin22x=a since sin22x lies between 0 and 1. so, 34sin22x will lie between 0 and 34. therefore, a will lie between 14 and 1.
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