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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
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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Question # 3
The maximum value of sin
θ
cos
θ
is
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1
1/2
1/4
1/6
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Question # 4
If (1+x)
n
=C
0
+ C
1
x +C
2
x
2
+ ......+C
n
x
1
then C
0
C
2
+ C
1
C
3
+ C
2
C
4
+ .....+C
n-2
C
n
=
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Question # 5
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 # 6
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8
4
64
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Question # 7
The parametric equations of a circle are
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Question # 8
Domain of tangent function is
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Question # 9
What is the value of cos (cos-1 2) ?
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√2
1/2
undefine
0
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Question # 10
An experiment yields 3 mutually exclusive and exhaustive events A, B, C, if P(A) =2 and P(B) = 3. then P(C) =
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1 / 11
2 / 11
3 / 11
6 / 11
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Question # 11
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Question # 12
Which of the following integrals can be evaluated
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Question # 13
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Question # 14
The law of sines can be used to solve
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Right angle triangle
Isosceles triangle
oblique triangle
haxagon
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Question # 15
The set {1, -1, 1, -1}, form a group under
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Addition
Multiplication
Subtraction
None
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Question # 16
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a sec(ax + b) + c
- a sec(ax + b) + c
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Question # 17
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Question # 18
i
3
=
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-1
i
-i
1
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Question # 19
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A = x, B = 1
A = 0, B = 2
A = -1, B = 1
A = x-1, B = x + 1
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Question # 20
The square of the distance between two points P(x
1
, y
1
) and Q(x
2
, y
2
) is
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Question # 21
Two tangents drawn from (2,3) to the circle x2+y2 =9 are
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Real and distinct
Imaginary
Real and coincident
None of these
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Question # 22
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Question # 23
If in a set of real no a is multiplicative identity then
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a,a = a
2
a,a = 1
a,a = 0
None of these
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Question # 24
The proposition S(k+1) is true when ______ is true∀K∈N
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S(n)
S(k)
S(1)
S(k-1)
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Question # 25
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3 x 1
1 x 3
3 x 3
1 x 1
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Question # 26
Find a if 1 is a root of the equation x
2
+ ax + 2 = 0
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3
-3
2
0
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Question # 27
One degree is denoted by
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1
0
1'
1"
1 rad
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Question # 28
Cos
-1
12/13 =
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tan
-1
3/5
cot
-1
13/12
Sec
-1
13/12
sin
-1
5/13
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Question # 29
Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is
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2
9
2
10
2
11
2
8
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Question # 30
Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when
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q = 0, r = 0,p ≠ 0
p = 0,qr≠ 0
r = 0,pq≠ 0
q = 0, pq≠ 0
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Question # 31
120°=______
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