Question # 1

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real part of z

imaginary part of z

conjugate of z

modulus of z

Probability of an impossible event is

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0

-1

1

∞

If line through (4,3) and (2,k) is perpendicular to y =2x +3, then k =_______

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-1

1

-4

4

Digit in the unit place of the number 183! + 3¹⁸³

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7

6

3

0

For all points (x,y) in first quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0

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k=0

k=0 or 26

k = 26

k=-13

If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is

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α

c

b

d

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15

9

7

8

The set of points {(x,y)|y = f(x),∀x∈} is called

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Relation

Graph of f

Function

All are correct

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(a - c)²= b²- c²

(a - c)²= b²+ c²

(a + c)²= b²- c²

(a + c)²= b²+ c²

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2x cos x2

-2xcosxsinx

2x Sin x2

-Sin x2

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

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One

Two

Three

Four

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For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?

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(3, 2)

(2, 3)

(1, 8)

(0, 3)

Ifθ= 60° then

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sinθ= 1/2

tanθ= cot 30°

θ=π/4

secθ= 4

cos (α-β) = cosαcosβ+ sinαsinβis true for all

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α>β> 0

α>β

β>α

None of these

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

Power set of X i.e P(X)..........under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

The physical quantity which can be specified by a number alongwith unit is called a

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scalar

vector

constant

none of these

If #n = (n-5)2 + 5, then find #3 x #4.

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54

12

4

9

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A relation in which the equality is true for all values of the unknown is called ______

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An identity

An equation

A polynomial

None of these

In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n=

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12

n=14

17

n=15

The graph of the linear equation of the form ax =by = c is a line which divided the plane into:

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Two similar regions

Two disjoint regions

Four equal parts

One region

The formula an = arn-1represents

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nth term of G.P

Sum of the first n terms

G.M between a and b

None of these

If A and B are two sets then intersection of A and B is denoted by

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π / 3

π / 4

π / 6

0

Which of the vectors have opposite direction?

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The set {1, -1, 1, -1}, form a group under

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Addition

Multiplication

Subtraction

None

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is

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an ellipse

a hyperbola

a circle

a parabola

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