AIEEE Exam

If A and B are acute positive angles satisfying
the equation 3 sin2 A + 2 sin2 B = 1 and
3 sin 2A – 2 sin 2B = 0 then A + 2B is equal to

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AIEEE Other Question

The equation of the circle of radius sqrt(2) whose
centre lies on the line x – y = 0 and which
touches the line x + y = 4 and whose centre's
coordinates satisfy the inequality x + y > 4 is -
(A) x2
+ y2
– 8x – 8y + 24 = 0
(B) x2
+ y2
= 8
(C) x2
+ y2
– 8x + 8y = 24
(D) none of these
If x = α, β satisfies both the equation
cos^2
x + a cosx + b = 0 and sin^2
x + p sinx + q = 0
then the relation between a, b, p and q is