Question # 1

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

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36 + (-32)i

-36 + 32i

6 + (-11)1

0, +(-12)i

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

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

The fifth term of an A.P. Whose first term is 5 and common difference is 3,is

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20

17

25

30

The extraction of cube root of a given number is a

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Unary Operation

Binary Operation

Relation

None of these

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A quadratic equation in x is an equation that can be witten in the form

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ax²+ b = 0

ax³ +b²+c=0

ax² +bx+c=0

ax³ +bx³+cx=0

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Free vector

Null vector

Unit vector

None of these

In quadratic equation y=ax³+bx+c, if b and c are both zero then the graph is

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Symmetric w.r.t.y-axis

Symmetric w.r.t.x-axis

Straight Line

Circle

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If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

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1-1 and onto

Bijective

1-1 and into

None of these

The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

The domain of the principle cos function is

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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)

The mid point of the line segment joining the points (3,-1) and (-3,1) is

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(3,-1)

(0,0)

(2,2)

(4,4)

If n∈Z+ then(a+x)n is a/an

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Finite series

Convergent series

Infinite series

Divergent series

Sum of first n terms of an arithmetic series is

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The lotus of intersection of perpendicular tangents to the parabola y² = 4ax is:

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Axis of the parabola

Focal chord of the parabos

The tangent at vertex of the parabola

a directrix of the parabola

In school there are 150 students Out of these 80 students enrolled for mathematics class 50 enrolled for English class and 60 enrolled for Physics class The student enrolled for English cannot attend any other class but the students of mathematics and Physics can take two courses at a time Find the number of students who have taken both physics and mathematics.

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40

30

50

20

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Domain of y = scs x is

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All real numbers except π/2 + n*π

R

All negative integers

None of these

The two lines y = 2x and x =2y are

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Parallel

Perpendicular

Equally inclined with axes

Congruent

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1

-1

0

I

The equation (cos p - 1)x²+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval

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(0, 2π)

(-π, -0)

(0,π)

None of these

No term of a geometric sequence can be

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0

1

2

3

Domain of cosecθis

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In (x + iy) x is the known as

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Imaginary part of complex number

Real part of complex number

Complex number

None of above

Three dice are thrown together. The probability of getting a total of at least 6 is

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103 / 108

10 / 216

93 / 108

None of these

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all are correct

There are ______ basic techniques for solving a quadratic equation

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Two

Three

Four

None of these

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