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JEE Advanced 2015 Paper 1

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Question : 59

Total: 60

In ℝ2,if the magnitude of the projection vector of the vector α

‌is‌√3 and if α=2+√3β,then possible value(s) of |α|is (are)

Let a and b be real numbers such that the function f(x)={

−3αx2−2,	x<1
bx+a2,	x≥1

is differentiable for all x∊ℝ.Then possible value(s) of a is (are)

Let ω≠1 be a complex cube root of unity.If (3−3ω+2ω2)4n+3+(2+3ω−3ω2)4n+3+(−3+2ω+3ω2)4n+3=0then possible value(s) of n is (are)

Let the harmonic mean of two positive real number a‌and‌b be 4.If q is a positive real number such that a,5,q,b is an arithmetic progression then the value(s) of |q−a| is (are )

(A) → (P, Q), (B) → (P, Q), (C) → (P, R, S, T), (D) → (Q, T)
(A) → (P, Q), (B) → (P, Q), (C) → (P, Q, R, T), (D) → (Q, T)
(A) → (P, Q), (B) → (P, Q), (C) → (P, Q, S, T), (D) → (Q, T)
(A) → (P, Q), (B) → (P, Q), (C) → (P, R, S, T), (D) → (Q, T)

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