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The number of pair (x,y) satisfying 4x2-4x+2=sin2y and x2+y2≤3 are
a.0
b.2
c.4
d.none of these
Hi Menka,
Please note the minimum value that the Q.Expression can take is 1 (when x=1/2).
So y^2 ≤ 3-1/4 = 11/4.
and for this sin^2 y = 1, so y = Π/2, -Π/2.
So there are two pairs viz. (1/2,Π/2) and (1/2,-Π/2)
Hence Option (B).
Hope that helps.
Best Regards,
Ashwin (IIT Madras).
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