AIEEE Exam

The perimeter of a ∆ABC is 6 times the
arithmetic mean of the sines of its angle. If the
side a is 1, then the angle A is

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AIEEE Other Question

If x + y = k is a normal to the parabola y^2 = 12x,
p is the length of the perpendicular from the
focus of the parabola on this normal then
3k^3
+ 2p^2
is equal to -
(A) 2001 (B) 2021
(C) 2223 (D) 1213
If α, β, γ are the roots of 2x^3
+ 3x^2
– 12x + 3 = 0.
Then the centroid of triangle whose vertices are
A = (α, β, γ), B = (β, γ, α), C = (γ, α, β) is