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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Choose an answer
15
15 i
-15 i
-15
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Question # 2
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c/a
-c/a
b/a
-b/a
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Question # 3
The position vector of a point (x, y) in xy plane is
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none of these
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Question # 4
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Question # 5
The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is
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120
124
128
132
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Question # 6
An indicated sum of terms of a sequence is represented by
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Sn
an
S(n)
{Sn}
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Question # 7
The transport of a rectangular matrix is a
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Square matrix
Rectangular matrix
Row matrix
Column matrix
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Question # 8
Which one represents a sequence
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an
Sn
a(n)
{an}
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Question # 9
If f(x) = x
2
- x then f(-2) is
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4
6
2
0
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Question # 10
If
α
,
β
are the roots of ax
2
+ bx + c = 0 and
α
+ h,
β
+ h are the roots of px
2
+ qx + r=0, then h =
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Question # 11
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a
x
In a + c
a
x
+ c
x a
x
+ c
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Question # 12
For non-trival solution |A| is
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A = 0
A
t
= 0
|A| = 0
None of these
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Question # 13
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Question # 14
The equation x2+ y2- 8x+ 6y+ 25= 0 represents
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A circle
A pair of straight lines
A point
None of these
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Question # 15
Which of the following is factor of p(x) =2x3 +3x2+3x+2 ?
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x+1
2x+1
3x+1
2x-1
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Question # 16
System of linear equation is inconsistent if
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System has no solution
System has one solution
System has two solution
None of above
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Question # 17
Which one is a pair of allied angles
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(180° -
θ)
(180° -
θ,
180° +
θ)
(180° +
θ)
None of these
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Question # 18
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1
-1
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Question # 19
The mid point of the line segment joining the points (3,-1) and (-3,1) is
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(3,-1)
(0,0)
(2,2)
(4,4)
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Question # 20
For the equation |x
2
| + |x| -6 =0, the roots are
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One and only one real number
Real with sum one
Real with sum zero
Real with product zero
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Question # 21
The ellipse and hyperbola are called
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Concentric conics
Central conics
Both a b
None
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Question # 22
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Question # 23
Derivative of sin x w.r.t. sin x is
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0
1
sin x
cos x
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Question # 24
cos 2
α=
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sin
2
α
+ cos
2
α
-cos
θ
tan
θ
None of these
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Question # 25
If a2 = b2 then
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a = b
a+b= 1
|a+b| =0
None
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Question # 26
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0
-4
none of these
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Question # 27
cos
4
θ
- sin
4
θ
=
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cos4
θ
cos2
θ
-sin
θ
sin2
θ
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Question # 28
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Question # 29
cot
θ
= sin 2
θ
if
θ
=
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Question # 30
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sec x tan x
cos
2
x
sin
2
x
sec
2
x
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Question # 31
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