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Online Tests

Mathematics ECAT Pre Engineering Online Test MCQs With Answers

Question # 1

The slope of the tangent at the point (h,h) of the circle x2 +y2 =a2 is

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0

1

-1

h

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Question # 2

The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called

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Linear Inequalities

Feasible regions

Half planes

Boundary

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Question # 3

Find the next two terms of 7, 9, 12, 16,...

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18, 20

19, 22

20, 25

21, 27

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Question # 4

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Question # 5

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Question # 6

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Question # 7

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y + 1 = Ae^x

y + 1 = Axe^x

xe^x= C

y + xe^x= C

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Question # 8

Range of secθis

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Z - {x | -1 < x < 1}

W - {x | -1 < x < 1}

R - {x | -1 < x < 1}

R

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Question # 9

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Symmetric

Skew-symmetric

Hermitian

Skew hermitian

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Question # 10

The latus rectum of the ellipse 5x²+ 9y²= 45 is

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10 / 3

5 / 3

3 / 5

3 / 10

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Question # 11

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3

6

0

None of these

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Question # 12

Period of tan x is ______

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Question # 13

The area of sector with central angle of 1 radian in a circular region whose radius is 2m is

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0.5m2

2m2

1m2

4m2

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Question # 14

For any set B, BUB' is

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Is set B

Set B'

Universal set

None of these

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Question # 15

The additive inverse of 0 is

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1

-1

0

Does not exist

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Question # 16

The value of k (k > 0) for which the equation x²+ kx + 64 = 0 and x²- 8x + k = 0 both will have real roots is

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8

-16

-64

16

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Question # 17

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Question # 18

Cot 45° = ______

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Question # 19

What is the conjugate of -6 -i?

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-6 +i

6+i

-6 -i

6 -i

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Question # 20

If p and q are two statements then their biconditional 'p if q' is denoted by

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Question # 21

If f(x) = (-x)²then f(-2) is

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0

2

-4

4

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Question # 22

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Question # 23

Ifθ= 60° then

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sinθ= 1/2

tanθ= cot 30°

θ=π/4

secθ= 4

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Question # 24

The number of combinations of 10 different objects taken 8 objects at a time is

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90

45

55

50

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Question # 25

The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if

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A = B≠ 0

A≠ B and both are of same sign

A≠ B both are of opposite sign

Either A = 0 or B =0

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Question # 26

The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

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Question # 27

The square matrix A is skew Hermitian when (A)'=

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A

A'

-A

A

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Question # 28

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2^x

2^xIn x

2^xIn 2

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Question # 29

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Question # 30

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none of these

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Question # 31

if the value of the sphere, v =4/3πr²^, then the which of the following statement is true?

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r is the function of v

v is the function ofπ

π is independent variable

None of these

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