If  +  =  , then 

1

Three positive number whose sum is 21 are in arithmetic progression. If 2, 2, 14 are added to them respectively then re…

Topic: NIMCET 2017

2

The equation (x-a)3+(x-b)3+(x-c)3 = 0 has

Topic: NIMCET 2017

3

α, β are the roots of the an equation $x^2- 2x cosθ + 1 = 0$, then the equation having roots αn and…

Topic: NIMCET 2017

4

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

5

Find a matrix X such that 2A + B + X = 0, whose A =  and B = 

Topic: NIMCET 2017

6

If E1 and E2 are two events associated with a random experiment such that P (E2) = 0.35, P (E1 or E2) = …

Topic: NIMCET 2017

7

If  is the mean of distribution of x, then usual notation  is

Topic: NIMCET 2017

8

The mean and variance of a random variable X having binomial distribution are 4 and 2 respectively. The P(X = 1) is

Topic: NIMCET 2017

9

Let A and B be two events such that  ,  and  where  stands for the complement o…

Topic: NIMCET 2017

10

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…

Topic: NIMCET 2017

1

The value of A that satisfies the equation asinA + bcosA = c is equal to

Topic: NIMCET 2017

2

If tan x = - 3/4 and 3π/2 < x < 2π, then the value of sin2x is

Topic: NIMCET 2017

3

Find the principal value of  is

Topic: NIMCET 2017

4

If cosθ = 4/5 and cosϕ = 12/13, θ and ϕ both in the fourth quadrant, the value of cos( θ + ϕ )is

Topic: NIMCET 2017

5

The value of sin36o is

Topic: NIMCET 2017

6

Express (cos 5x – cos7x) as a product of sines or cosines or sines and cosines,

Topic: NIMCET 2017

7

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…

Topic: NIMCET 2017

8

If the lines x + (a – 1)y + 1 = 0 and 2x + a2y – 1 = 0 are perpendicular, then the condition satisfies by a is

Topic: NIMCET 2017

9

In a triangle ABC, let angle C = π/2. If R is the inradius and R is circumradius of the triangle ABC, then 2(r + R) equ…

Topic: NIMCET 2017

10

If x2 + 3xy + 2y2 – x – 4y – 6 = 0 represents a pair of straight lines, their point of intersection is

Topic: NIMCET 2017