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Online Tests

Mathematics ECAT Pre Engineering Online Test MCQs With Answers

Question # 1

The conjugate of √5 i is

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√5

-√5 i

i

5i

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Question # 2

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-1

0

2

1

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Question # 3

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Question # 4

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0

2

4/3

5/3

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Question # 5

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Question # 6

Sum of all the four forth roots of unity is

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1

-1

i

0

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Question # 7

The null vector is regarded to be perpendicular to

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Every vector

In some cases

Both a b

None

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Question # 8

Let P(x₁, y₁) and Q(x₂, y₂) be two points in the co-ordinate plane. Let d = distance between P and Q

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Question # 9

The numbers of G₁, G₂, G₃...... G_nare called n geometric means between a and b is a, G₁, G_2,G₃, ... G_n, b are in

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H.P.

A.P.

G.P.

None of these

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Question # 10

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cosec x + c

-cosec x + c

-sec x + c

sec x + c

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Question # 11

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Question # 12

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2 b

2 a

2 ab

a + b

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Question # 13

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0

1

2

4

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Question # 14

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Question # 15

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Question # 16

A bag contains 5 white, 7 red and 5 black balls. If four balls are drawn one by one with replacement, the probability that none is white is

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(11/16)²

(5/16)²

(11/16)⁴

(5/16)⁴

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Question # 17

Cos 60° = ______

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1

2

1/2

3

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Question # 18

A line joining two distinct points on a parabola is called a ______ of the parabola.

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Chord

Tangent

Lust rectum

directrix

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Question # 19

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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Question # 20

If f (x) = 2x+1 then fof (x) = _______;

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4x+3

2x +3

4x +1

None of these

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Question # 21

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1

-1

0

I

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Question # 22

if a₁ =3, d=7 and a_n =59 , then the number of terms in A.P is

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7

9

11

13

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Question # 23

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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Question # 24

A = B iff

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All elements of A also the elements of B

A and B should be singleton

A and B have the same number of elements

If both have the same element

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Question # 25

The set which has no proper subset is

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{0}

{}

{∅}

None of these

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Question # 26

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Question # 27

Two sets A and B are said to be disjoint if

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Question # 28

If Z = (1,2), then Z^-1 =?

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(0.2, 0.4)

(-0.2 ,0.4)

(0.2,-0.4)

(-0.2,-0.4)

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Question # 29

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Question # 30

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Question # 31

The centre fo the circle x²+ y²+ 12x -10 = 0 is

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(12, -10)

(6, -5)

(-12, 10)

(-6, 5)

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