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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The period of 3 sin x is
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2π
9π
3π
5π
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Question # 2
How many signals can be given by 5 flags of different colours, using 3 flags at a time
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120
60
24
15
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Question # 3
If A(x
1
, y
1
) , B(x
2
, y
2
) and C(x
3
, y
3
) are the vertices of a triangle then its centroid is
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Question # 4
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Question # 5
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a sec(ax + b) + c
- a sec(ax + b) + c
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Question # 6
The point on y
2
= 4ax nearest to the focus has its abciassae equal to
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-a
a
a/2
0
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Question # 7
Range of cosec
θ
is
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W - {y | -1 < y < 1}
R - {y | -1 < y < 1}
O - {y | -1 < y < 1}
R
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Question # 8
The formula an = a +(n-1)d for an A.P is called
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nth term of an A.P
Sum of first n terms
A,M between a and b
None of the above
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Question # 9
The period of tan x/7 is
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3π
7π
15π
5π
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Question # 10
How many arrangements of the letter of the word PAKPATTAN can be made
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Question # 11
How many comittees of 5 numbers can be chosen from a group of 8 players person when each committee must include 2 particular persons
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8!
5!3!
5!
20
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Question # 12
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Question # 13
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Question # 14
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In f(x) + c
f(x) - c
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Question # 15
At a point 15 meters away from the base of a 15 meters high house, the angle of elevation of the top is
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90°
60°
30°
45°
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Question # 16
Sin-1(-x)=
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x
-x
-sin-1 x
cos-1 x
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Question # 17
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Question # 18
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Question # 19
The many subset can be formed from the set {a,b,c,d}
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8
4
12
16
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Question # 20
If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to
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1
4
2
8
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Question # 21
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Question # 22
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none of these
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Question # 23
The set of rationals numbers between 0 and I is
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Finite
Null set
Infinite
None of these
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Question # 24
Which is the proper rational function
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Question # 25
If for the matrix A, A
5
= I, then A
-1
=
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A
2
A
3
A
None of above
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Question # 26
A function from X to X is denoted as
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f : X to Y
f : Y to Y
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Question # 27
cos(3π/2 +θ) = _____;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 28
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Question # 29
The sum of complex number (a,b) and (c,d) is
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Question # 30
The first three terms in the expansion of (1 - x)
-2
are
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1 - 2x + 3x
2
1 - 2x - 3x
2
1 + 2x + 3x
2
-2 - 2x +3x
2
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Question # 31
A ________ divides the plane into left and right half planes.
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Vertical line
Horizontal line
Non vertical line
Inequality
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