α, β are the roots of the an equation $x^2- 2x cosθ + 1 = 0$, then the equation having roots αn and βn is
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If in a triangle ABC, the altitudes from the vertices A, B, C on opposite sides are in HP, then sin A, sin B, sin C are…
Topic: NIMCET 2017
Find a matrix X such that 2A + B + X = 0, whose A = and B =
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If E1 and E2 are two events associated with a random experiment such that P (E2) = 0.35, P (E1 or E2) = …
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If is the mean of distribution of x, then usual notation is
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The mean and variance of a random variable X having binomial distribution are 4 and 2 respectively. The P(X = 1) is
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Let A and B be two events such that , and where stands for the complement o…
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A man is known to speak the truth 2 out of 3 times. He threw a dice cube with 1 to 6 on its faces and reports that it i…
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In an entrance test there are multiple choice questions, with four possible answer to each question of which one is cor…
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The harmonic mean of two numbers is 4. Their arithmetic mean A and the geometric mean G satisfy the relation 2A+G2…
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A and B are independent witness in a case. The chance that A speaks truth is x and B speaks
truth is y. If A and B agre…
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Next 10 Questions — NIMCET 2017
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The equation $(x-a)^3+(x-b)^3+(x-c)^3=0$ has
Topic: NIMCET 2017
Three positive number whose sum is 21 are in arithmetic progression. If 2, 2, 14 are added to them respectively then re…
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If + = , then
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The value of A that satisfies the equation asinA + bcosA = c is equal to
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If tan x = - 3/4 and 3π/2 < x < 2π, then the value of sin2x is
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Find the principal value of is
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If cosθ = 4/5 and cosϕ = 12/13, θ and ϕ both in the fourth quadrant, the value of cos( θ + ϕ )is
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The value of sin36o is
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Express (cos 5x – cos7x) as a product of sines or cosines or sines and cosines,
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If non-zero numbers a, b, c are in A.P., then the straight line ax + by + c = 0 always passes
through a fixed point, th…
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