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Online Tests

Mathematics ECAT Pre Engineering Online Test MCQs With Answers

Question # 1

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Question # 2

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Question # 3

The end points of the major axis of the ellipse are called its

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Foci

Vertices

Co - vertices

None of these

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Question # 4

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Question # 5

If 5,7 and 9 are A.Ms between a and b, then a and b is equal to

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2 and 12

1 and 10

3 and 11

-7 and 2

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Question # 6

A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45°. then which of the following statements is correct?

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Breadth of the river is twice the height of the tower

Breadth of the river an the height of the tower are the same

Breadth of the river is half of the height of the tower

None of these

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Question # 7

The process of finding a function whose derivative is given is called a

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Differentiation

Integration

Differential

None

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Question # 8

Which of the following is factor of x11+a11, where n is an odd integer

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x-a

x+a

2x-a

2x+a

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Question # 9

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Question # 10

The coordinates of a point P(x,y) referred to XY-system are

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(x+y,y+k)

(x-h,y-k)

(x,y)

(x-h,y-k)

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Question # 11

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Question # 12

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Question # 13

Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

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Question # 14

The distance of the point (-2 , -3) from y-axis is

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2

-2

3

-3

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Question # 15

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0

1

2

3

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Question # 16

Domain of 1+cot2θ=csc2θ is

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[0,π]

R-{x/x=nπ,n∈ z}

(-∞,+∞)

[-1,1]

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Question # 17

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0

1

8

∞

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Question # 18

The differential equations of all conis whose axes coincide with the co-ordinate axis is

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Question # 19

1.4142135... is ______

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A natural number

A rational number

A prime number

An irrational number

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Question # 20

Domain of 2 cos x is ______

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[-2, 2]

R

Negative real numbers

None of these

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Question # 21

Period of cos 2x is ______

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Question # 22

Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

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Question # 23

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An upper triangular matrix

A lower triangular matrix

A diagonal matrix

A null matrix

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Question # 24

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Question # 25

The equation x²+ y²= 0 represents

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A circle

A degenerate circle

An empty set

A st. line

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Question # 26

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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Question # 27

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Question # 28

cos⁴θ- sin⁴θ=

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cos4θ

cos2θ

-sinθ

sin2θ

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Question # 29

An equation containing at least one derivative of a depends variable with respect to independent variable is a (an)

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Implicit equation

Differential equation

General equation

None of these

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Question # 30

tan^-1x > cot^-1x holds for

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x > 1

x < 1

x = 1

All values of x

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Question # 31

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