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Online Tests

ECAT Mathematics Online Test MCQs With Answers

Question # 1

The equation of vertical asymptotes of y = cos ecx is

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x = 0

y = 0

x =∞

y =∞

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Question # 2

The first three terms in the expansion of (1 + x)^-1are

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1 + x + x²

1 - x - x²

-1 -x + x²

1 - x + x²

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Question # 3

The point _________ is in the solution of the inequality 2x + 3y < 5

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(1,1)

(2,2)

(0,1)

(0,2)

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Question # 4

Derivative of a w.r.t x is

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0

1

x

x

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Question # 5

The line 3x - 4y = 0

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Is a tangent to the circle x²+ y²= 25

Is a normal to the circle x²+ y²=25

Does not meet the circle x²+ y²= 25

Does not pass thro' the origin

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Question # 6

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Question # 7

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Question # 8

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none of these

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Question # 9

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Question # 10

if f(x) = x³ -3x² +5x -1, then f(-√2)=

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7+7√2

3+3√2

-7-7√2

-3-3√2

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Question # 11

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I quadrant

II quadrant

III quadrant

IV quadrant

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Question # 12

The perimeter of a sector of a central angle of measure 1 radian out off an are of length 35cm is

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35 cm

70 cm

140 cm

105 cm

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Question # 13

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Question # 14

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π

2π

π/2

None of these

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Question # 15

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Question # 16

If A∩B=B, then n(A∩B) is equal to

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n(a)

n(a)+n(c)

n(c)

None of these

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Question # 17

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Question # 18

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Question # 19

In R, the multiplicative identity is

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0

1

-1

None

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Question # 20

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Question # 21

(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

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Question # 22

The distance between the points (2, 2) and (3, 3) is

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10

5

2

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Question # 23

The point of concurrency of the medians of the ΔABC is called its

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Orthocenter

Centriod

Circumcentre

Incentre

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Question # 24

The function f{(x, y) | y = ax²+ bx + c} is

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One-one function

Constant function

Onto function

Quadratic function

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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

The smallest positive root of the equation tan x - x = 0 lies on

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Question # 27

The upper 3/4 the portion of a vertical pole subtends an angle tan^-13/5 at a point in the horizontal plane through its foot and at a distance 40 m from the foot. A possible height of the vertical pole is

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20 m

40 m

60 m

80 m

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Question # 28

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100

99

0

none of these

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Question # 29

The third term of the sequence a_n= (-1)^n-1(n-7) is ______

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8

4

-4

8

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Question # 30

∀x,y,z ∈ R and z 0,then

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x > y ⇒ xz > yz

x<y ⇒ xz < yz

x < y ⇒ xz > yz

None of these

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Question # 31

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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