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Online Tests

ECAT Mathematics Online Test MCQs With Answers

Question # 1

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(a + b)c = ac + bc

a + b = b + a

(a + b) + c = a + (b + c)

a(b +c) = ab + ac

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Question # 2

For≥ -2 , 1+3+5+......+(2n+5)

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(n+2)²

(n-2)²

2n+1

(n+3)²

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Question # 3

Two circles are said to be concentric if they have

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same radius

same chord

same centre

same diameter

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Question # 4

An open sentences formed by using the sign of equality '=' is called ______

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An identity

An equation

A polynomial

None of these

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Question # 5

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Question # 6

Each complex cube root of unity is square of

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itself

1

-1

the other

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Question # 7

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None of these

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Question # 8

If a > 0 they parabola y2 =-4ax lies in

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I and iv quadrant

I quadrant

II and III quadrant

All are incorrect

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Question # 9

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 # 10

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15

9

7

8

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Question # 11

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Question # 12

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0

1

2

None of these

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Question # 13

The position vector of any point in space is

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Question # 14

Period of sec x is ______

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Question # 15

If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

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Question # 16

H.M. between 3 and 7 is

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Question # 17

If (1+x)ⁿ=C₀+ C₁x +C₂x²+ ......+C_nx¹then C₀C₂+ C₁C₃+ C₂C₄+ .....+C_n-2C_n=

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Question # 18

There are n seats round a table numbered 1, 2, 3 .... n. The number of ways in which m person can take seats is

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ⁿP_m

ⁿC_mx (m - 1) !

^n-1P_m

None of these

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Question # 19

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none of these

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Question # 20

The locus of the point of intersection of tangents to an ellipse at two points, sum of whose eccentric angles is constant is

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A parabola

A circle

An ellipse

A st. line

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Question # 21

Cos-1 (-x) =

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-x

1/x

tan-1 x

π-cos-1 x

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Question # 22

Cofactor of an element a_ijis defined by

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(-1)^i+j|A|

(-1)^i+jM_ij

(-1)^i+jM^-1

None of these

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Question # 23

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Question # 24

cos(3π/2 +θ) = _____;

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sinθ

cosθ

-sinθ

-cosθ

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Question # 25

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Question # 26

Domain of tan x is ______

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Question # 27

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G.P

H.P.

A.P.

No particular sequence

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Question # 28

the latus rectum of the parabola x³= -4ay is:

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x = a

y = -a

x = -a

y = 0

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Question # 29

If there are m rows and n columns in a matrix then its order is

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m x n

m x m

n x n

n x m

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Question # 30

The set {x|x∈N∧x-4=0} in tabular form is

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{-4}

{0}

{}

None of these

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Question # 31

I f the focus is F ( 0,-a) and directrix is the line v=a, then equation of the parabola is:

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x² = 4ay

y² = 4ax

y² = -4ax

x² = 4ax

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