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

1

Find the principal value of  is

Topic: NIMCET 2017

2

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

Topic: NIMCET 2017

3

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

Topic: NIMCET 2017

4

If  +  =  , then 

Topic: NIMCET 2017

5

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

6

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

Topic: NIMCET 2017

7

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

8

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

9

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

Topic: NIMCET 2017

10

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

1

The value of sin36o is

Topic: NIMCET 2017

2

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

Topic: NIMCET 2017

3

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

4

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

5

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

6

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

Topic: NIMCET 2017

7

The equation of the tangent line to the curve y = 2x sin x at the point (π/2, π), is

Topic: NIMCET 2017

8

If the graph of y = (x – 2)2 – 3 is shifted by 5 units up along y-axis and 2 units to the right along the x-axis, then …

Topic: NIMCET 2017

9

The direction cosines of the vector a = (- 2i + j – 5k) are

Topic: NIMCET 2017

10

The equation of the hyperbola with centre at the region, length of the transverse axis is 6 and one focus (0, 4) is

Topic: NIMCET 2017