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Q.

If  y+Cosθ=Sinθ has a real solution then

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a

−2≤y≤2

b

y>2

c

y≤−2

d

y≤1

answer is A.

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Detailed Solution

y=sinθ−cosθ it has solution if |c|≤a2+b2⇒−2≤y≤2
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If  y+Cosθ=Sinθ has a real solution then