AIEEE Exam

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

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AIEEE Other Question
If sin 3α = 4 sin α sin (x + α) sin (x – α) then
864 sin2
x + 3620 cos2
x is equal to -
(A) 1550 (B) 1650
(C) 1553 (D) 1653
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