Question # 1

∫x sin xdx is equal to:

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sin x/x + cos x

sin x - cos x/x

x cos x + sin x

- x cos x + sin x

Tan 2θ=

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Range of sinθis

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A and B be two square matrices and if their inverse exist, the (AB)^-1=

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A^-1B^-1

AB^-1

A^-1B

B^-1A^-1

f(x) = C is

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identity function

constant function

linear function

quadratic function

We also the system of non-homogeneous linear equations by

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a and b

b and c

c and a

a, b and c

If c is a constant number and if f is the function defined by the equation f(x) =c for all values of x, then f is differentiable at every x and f is defined by the equation f(x)

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f

1

C

0

Range of cosθis

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π / 3

π / 4

π / 6

0

The two different parts of the hyperbola are called its

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Vertices

Directrices

Nappes

Branches

If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is

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ay2 +2by+c=0

ay2+2by+4c=0

ay2+2by+c=0

ay2+by+4c=0

If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?

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0

2

4

7

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Period of Tangent function is

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0°

-π

π

2π

If z=(x,y) then z has no multiplicative inverse when

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x ≠ 0, y = 0

x = 0, y = 0

x = 0, y ≠ 0

None of these

The angle of depression of the point at a distance 70 meters from the foot of the tower from the top of the tower is 45^𝜊.The height of the tower is

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37m

97m

101m

70m

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all

If G is the centroid of the triangle, then GA +GB+GC=

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0

1

-1

3

The domain of y =√(x^2-9) is

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R

(0 , +∞)

(-∞ , -3 )∪ (3 , +∞)

(0 ,∞)

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The solution set of the equation tan^-1x - cot^-1x = cos^-1(2 - x) is

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[0, 1]

[-1, 1]

[1, 3]

None of these

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none of these

If the intersection of two sets is non-empty, but either is a subset of other are called

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Disjoint sets

Over lapping

Equal sets

None of these

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3x + 4 = 0 is

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not inequality

equation

identity

inequality

The trigonometric function are continuous whenever

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They are defined

their limit exist

Their period is given

All are incorrect

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Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

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4

3

2

1

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If f(x) = x³- 2x²+ 4x -1, then f(-2) = ?

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0

-25

5

45

The point of contact of the circles x²+ y² - 6x -6y+10 = 0 and x² + y² =2 is

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(-3 ,2)

(1 , 3)

( -2 , -1)

None of these

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