Question # 1

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

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Parabola

Circle

Hyperbola

Ellipse

The sets {1, 2, 4} and {4, 6, 8, 10} are

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Equal sets

Equivalent sets

Disjoint sets

Over lapping sets

Every identity matrix is

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Row-vector

Scalar

Column-vector

All

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Orthogonal

Involutary

Idempotent

Nilpotent

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The value of x and y when (x + iy)2 = 5 - 4i

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x = 2, y = -1

x = -2, y = 1

x = 2, y = -i

x = 2, y = 2

Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is

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1/4

1/2

1/3

1/7

ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

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The directrix of y2 =-4ax is

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y =-a

y = a

x = a

x = -a

How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5

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720

600

120

6-5!

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The set Q

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Forms a group under addition

Does not form a group

Contains no additive indentity

Contains no additive inverse

Matrix multiplication is

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Commutative

Not commutative

Not associative

Not distributive

The period of 2 cos x is

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30π

7π

5π

2π

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An upper triangular matrix

A lower triangular matrix

A diagonal matrix

A null matrix

The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is

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1 / 10

2 / 10

3 / 10

4 / 10

For a set A, A∪Ac= ---------------------

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A

∅

Ac

U

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perpendicular vectors

concurrent vectors

parallel vectors

none of these

The unit vector along y-axis is

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none of these

If a polynomial P(x) is divided by x - a, then the remainder is

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P(o)

P(-a)

P(a)

None of these

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

The range of the function f : x→ y is defined by

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{x| y = f (x) ∀x∈ X ∧y∈y}

{(x,y) |y = f (x)∀x∈ X}

{y|y = f (x) ∀x∈ X ∧y∈y}

Y

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

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15

15i

-15i

-15

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0

20

90

80

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The series obtained by adding the terms of an arithmetic sequence is called the

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Infinite series

Harmonic series

Geometric series

Arithmetic series

If in the expansion of (1+x)ⁿ, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=

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4

5

6

7

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Less then 1

Equal to 1

Greater than 1 but less then 2

Greater then or equal to 2

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