Question # 1

If f (x) = 2x+1 then fof (x) = _______;

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4x+3

2x +3

4x +1

None of these

If 2 and 2 are x and y components of vector then its angle with x-axis is

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30°

45°

60°

90°

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Cos 60° = ______

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1

2

1/2

3

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An ellipse

A parabola

A circle

A hyperbola

In R the number of identity elements w.r.t.'.' is

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One

Two

Three

Four

If the focus lies on the y-axis with coordinates f(0,a) and directrix of the parabola is y = -a, the equation of parabola is:

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y² = -4 ax

x² = 4ay

x² = -4ay

y² = 4ax

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The locus of the centre of a circle which touches two given circles externally is:

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a hyperbola

an ellipse

a circle

a parabola

Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

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A≠ C

B = C

A = B

A≠ B

The points (5, -4, 2),(4, -3, 1),(7, -6, 4),(8, -7, 5) are vertices of a

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Square

Parallelogram

Rectangle

Rhombus

22.5°=______

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a sin(ax + b) + c

- a sin(ax + b) + c

Out of 40 consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is

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14 / 29

20 / 39

1 / 2

n

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I and II quadrants

I and III quadrants

II and III quadrants

II and IV quadrants

We solve 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

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If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is

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0

±1

±5

±7

If n is not natural number, then the expansion (1 + x)ⁿis valid for

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How many types of an equation

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1

3

2

None

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additive property

multiplicative property

additive inverse

additive identity

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The vertices of the ellipse x²+ 4y²= 16 are

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None of these

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0

-1

1

The period of 2 cos x is

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30π

7π

5π

2π

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

Geometrically, the modulus of a complex number represents its distance from the

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Point (1, 0)

Point (0, 1)

Point (1, 1)

Point (0, 0)

If x,y are two positive distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

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