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Online Tests

Mathematics ECAT Pre Engineering Online Test MCQs With Answers

Question # 1

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

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Question # 2

An equation in which at least one term contains dy/dx, d² y /dx²etc, is called.

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Differential equation

Initial condition

General solution

Singular equation

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Question # 3

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images

pre-images

constants

none of these

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Question # 4

If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is

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5

Equal to the moment of the force about origin

0

Cannot be found

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Question # 5

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Question # 6

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Question # 7

In R, the additive inverse of a is

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0

1

-a

1/a

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Question # 8

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Question # 9

If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______

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Question # 10

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184

none of these

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Question # 11

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2x + 3

x²+ 3 + c

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Question # 12

The mid point of the line segment joining the points A(3,1) and B(-2,-4) is

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(1, -3)

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Question # 13

cos(a-β) = ______;

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sin a cosβ + cos a sinβ

sin a cos β - cos a sinβ

cos a cos β + sin a sinβ

cos a cosβ - sin a sinβ

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Question # 14

Any whole number can be written as a product of factors which are

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Even number

Odd numbers

Prime number

Rational number

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Question # 15

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Question # 16

The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is

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2:3

-2:3

3:2

-3:2

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Question # 17

∀ z ∈ C, multipliucative is

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(1,1)

(1,0)

(0,1)

None of these

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Question # 18

If a > 0, b > 0, c > 0, then the roots of the equation ax²+ bx + c = 0 are

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Real and negative

Non-real with negative real parts

Real and positive

Nothing can be said

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Question # 19

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Question # 20

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Question # 21

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Question # 22

f (x) = | x | is a/an

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Injective function

Bijective function

Surjective function

Implicit function

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Question # 23

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0

Independent of a

Independent of b

Independent of c

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Question # 24

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Question # 25

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An expression

Rational fraction

Equation

Identity

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Question # 26

The law of cosines reduces to a2 +c2 =b2 for

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α = 90°

β = 90°

γ = 90°

α +β +γ =180°

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Question # 27

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Question # 28

The system of measurement in which the angle is measured in degrees, minutes and seconds is called the

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circular system

CGS system

sexagesimal system

none of these

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Question # 29

The foot of perpendicular from (α,β,γ) only y-axis is

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(α, 0, 0)

(0,β, 0)

(0, 0, γ)

(0, 0, 0)

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Question # 30

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l²+ m²+ n²= 0

l²- m²+ n²= 1

l²+ m²+ n²= 1

l²+ m²- n²= 0

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Question # 31

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real part of z

imaginary part of z

conjugate of z

modulus of z

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