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Online Tests

ECAT Mathematics Online Test MCQs With Answers

Question # 1

The range of function f(x)=-x2+2x-1 is

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R

(-∞,0]

(-∞,1]

[0,∞)

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Question # 2

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Question # 3

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Question # 4

If Sin A = sin B, cos A = cos B, then the value of A in terms of B is

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Question # 5

Roots of the equation 9x²- 12x + 4 = 0 are

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Real and equal

Real and distinct

Complex

None of these

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Question # 6

tan^-1(1/4) + tan^-1(2/9) is equal to

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1/2 cos^-1(3/5)

1/2 sin^-1(3/5)

1/2 tan^-1(3/5)

tan^-11/2

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Question # 7

Which of the following represents a vector

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(x, y)

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Question # 8

The value of sin [ arc cos (-1/2)] is

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Question # 9

An A.P. consists of n(odd terms) and its middle term is m. then the sum of the A.P. is

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2 mn

1/2 mn

mn

mn²

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Question # 10

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a

2a

3a

4a

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Question # 11

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Question # 12

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1

2

-1

0

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Question # 13

For all positive integral value of n,3ⁿ< n! , when

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n> 6

n< 6

n<11

n>11

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Question # 14

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Reflexive property

Symmetric property

Transitive property

Additive property

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Question # 15

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Question # 16

If a, b, c are the measures of the sides of a triangle then

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Question # 17

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Addition

Subtraction

Multiplication

None of these

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Question # 18

If the roots of ax²+ bx + c =0 are equal in magnitude but opposite in sign, then

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a = 0

b = 0

c = 0

None of these

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Question # 19

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xy

y

0

x

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Question # 20

Which of the following function form 1 to itself are bi-jective

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F(x) = x + 3

F(x) = x⁵

F(x) = 3x + 2

F(x) = x²+ x

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Question # 21

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Question # 22

If Z₁ = 1+ i, Z₂ = 2+3i , then |Z₁ -Z₂| =?

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√5

√7

-1-2i

√3

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Question # 23

The roots of (x - a)(x - b) = ab x2 are always

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Real

Depends upon a

Depends upon b

Depends upon a and b

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Question # 24

The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

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Question # 25

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tan 3x + c

cot 3x + c

- cot 3x + c

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Question # 26

if Z1 = 1+i, Z2= 2+3i, then |Z2 -Z1| =

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√3 i

√7

-2-i

√5

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Question # 27

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

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Question # 28

The 8th term of (1+2x) ^-1/2is

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-221/16 x⁷

-225/18 x⁷

-407/9 x³

-429/16 x⁷

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Question # 29

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none of these

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Question # 30

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 # 31

3x + 4 > 0 is

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equation

identity

inequality

none of these

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