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JEE Advanced Mathematics Quiz 2
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Question 1
If a, b, c are in G.P. then-
Question 2
The coefficient of xk (0 ≤ k ≤ n) in the expansion of E = 1+ (1 + x) + (1 + x)2 +......... + (1+x)n is-
Question 3
Sixteen men compete with one another in running, swimming and riding. How many prize lists could be made if there were altogether 6 prizes of different values, one for running, 2 for swimming and 3 for riding ?
Question 4
The question has FOUR options. ONLY ONE of these four options is the correct answer.
The sum of n terms of an A.P. is an(n – 1). The sum of the squares of these terms is-
Question 5
The question has FOUR options. ONLY ONE of these four options is the correct answer.
The equations of tangents to the ellipse 9x2 + 16y2 = 144 which pass through the point (2, 3) is -
Question 6
The question has FOUR options. ONLY ONE of these four options is the correct answer.
The equation to the circle which passes through the points (1, – 2) and (4, –3) and which has its centre on the straight line 3x + 4y = 7 is –
Question 7
The question has FOUR options. ONLY ONE of these four options is the correct answer.
The value of the expression
1. (2 –ω) . (2 – ω2) + 2 . (3 – ω) (3 – ω2) + ....... + (n – 1) (n – ω) (n – ω2), where ω is an imaginary cube root of unity is-
1. (2 –ω) . (2 – ω2) + 2 . (3 – ω) (3 – ω2) + ....... + (n – 1) (n – ω) (n – ω2), where ω is an imaginary cube root of unity is-
Question 8
Let f’(sin x) < 0 & f ‘‘ (sin x) > 0, ∀x ∈ (0, π/2) and g(x) = f(sin x) + f(cos x), then g(x) is decreasing in-
Question 9
If A =
then |A | | Adj A| is equal to-
then |A | | Adj A| is equal to- Question 10
The question has FOUR options. ONLY ONE of these four options is the correct answer.
If the curves y2 = 6x, 9x2 + by2 = 16, cut each other at right angles then the value of b is -
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Oct 30JEE & BITSAT
