Question # 1

In polar form of complex number r =

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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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Commutative law of multiplication

Closure law of multiplication

Associative law of multiplication

Multiplication identity

Every whole number is

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A real number

An irrational number

A prime number

A negative integer

A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random, then the probability that both the ball are white is

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1/18

1/12

1/36

None of these

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I quadrant

II quadrant

III quadrant

IV quadrant

The sum of the even coefficients in the expansion (1 + x)ⁿis

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n²

2^n-2

2^n-1

2ⁿ

The square roots of negative numbers is called

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Real no

Complex no

Positive no

Negative no

The only function which is both even and odd is

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f(x) =α

f(x) = x

f(x) =0

Both A & B

A chord passing through the centre of the circle is called

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the secant of the circle

the tangent of the circle

the arc of the circle

the diameter of the circle

Area of the triangle whose vertices are (2,3),(0,1),(0,0) is

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6

2

4

1

The multiplicative inverse of 4 is

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-4

-1/4

1/4

1

Two quadratic equation in which xy term is missing and the coefficients of x²and y²are equal, give a linear equation by ______

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Addition

Subtraction

Multiplication

Division

x =r cosθ,y= sinθ are the parametric equations of

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Circle

Ellipse

Parabola

Hyoerbola

The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

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120

100

140

160

Three consecutive terms of a progression are 30, 24, 20. The next terms of the progression is

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A conditional is regarded as false only when the antecedent is true and consequent is

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True

False

Known

Unknown

Which of the following is factor of p(x) =2x3 +3x2+3x+2 ?

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x+1

2x+1

3x+1

2x-1

ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

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parallel vectors

perpendicular vectors

concurrent vectors

collinear vectors

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360°

180°

90°

None of these

(a^-1)^-1=

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a^-1

a

-a

None of above

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8

9

10

11

If the trace of matrix A is 5, then the trace of the matrix 3A is

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3/5

5/3

8

15

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In f(x) + c

f(x) - c

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tan (π-θ) = ______

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- sinθ

- tanθ

- cosθ

- cotθ

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

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-a

a + 1

-2 -a

None of these

Period of Tangent function is

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0°

-π

π

2π

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