AIEEE Exam

The equation of the plane passing through the
intersection of the planes x + 2y + 3z + 4 = 0 and
4x + 3y + 2z + 1 = 0 and the origin, is -
(A) x + 2y + 3z = 0 (B) 3x + 2y + z = 0
(C) 2x + 3y + z = 0 (D) x + y + z = 0

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AIEEE Other Question
f the function f(x) = 2x^3
– 9ax^2
+ 12a^2
x + 1,
where a > 0 attains its maximum and minimum at
p and q respectively such that p^2
= q, then a
equals -
(A) 3 (B) 1 (C) 2 (D) 1/2
If the volume of a sphere is increasing at a
constant rate, then the rate at which its radius is
increasing, is -
(A) a constant
(B) proportional to the radius
(C) inversely proportional to the radius
(D) inversely proportional to the surface area