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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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x
3
- x
2
+ x + c
6x - 2 + c
x
3
- 2x + c
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Question # 2
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y + 1 = Ae
x
y + 1 = Axe
x
xe
x
= C
y + xe
x
= C
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Question # 3
The product of the four fourth roots of unity is
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0
1
-1
None of these
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Question # 4
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Question # 5
(1+w)(1+w2)(1+w4)(1+w8)....50 factors
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0
-1
1
2
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Question # 6
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Question # 7
If a, b, c, d, e, f are in A.P.,then e-c is equal to
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2(c - a)
2(f - d)
2(d - c)
d - c
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Question # 8
The exact value of cos
-1
(-1) + cos
-1
(1) =
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π
-π
π/2
π/3
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Question # 9
If distance of (a,b) from y-axis is 2 then
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a = 2
b = 2
a = b
a = 4
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Question # 10
A circle is a limiting case of an ellipse whose eccentricity
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Tends to a
Tends to b
Tends to 0
Tends to a + b
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Question # 11
If ax
2
+ bx + x = 0 is satisfied by every value of x, then
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b = 0, c = 0
c = 0
b = 0
a = b = c = 0
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Question # 12
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Question # 13
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Question # 14
If A = [a
ij
] is (m x n) matrix, then transpose of A is of the order
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m x m
m x n
n x n
n x m
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Question # 15
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real part of z
imaginary part of z
conjugate of z
modulus of z
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Question # 16
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From an empty set
1
2
>2
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Question # 17
If n(A) = n then n(P(A)) is
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2n
n
2
n/2
2
n
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Question # 18
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Question # 19
A triangle which is not right is called an ______ triangle
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Acute
Obtuse
Oblique
None of these
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Question # 20
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Question # 21
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At
-A
A
A-1
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Question # 22
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perpendicular vectors
parallel vectors
concurrent vectors
none of these
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Question # 23
Ifα,β are non-real roots of ax2 + bx +c =0 (a,b,c∈ Q),then
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α = β
αβ = 1
α = β
α = 1
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Question # 24
Empty set is
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Not the member of real numbers
Infinite set
Finite set
Not subset of every set
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Question # 25
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none of these
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Question # 26
The third term of the sequence a
n
= (-1)
n-1
(n-7) is ______
Choose an answer
8
4
-4
8
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Question # 27
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Question # 28
The line through the intersection of the lines x+ 2y+ 3= 0 : 3x +4y +7 =0 and making equal intercepts on the axes is
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x+ y+ 1= 0
x+ y- 2= 0
x+ y+ 2= 0
2x +y +2 =0
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Question # 29
The different of tan x is
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sec2 x
ln |sec x|
sec2 xdx
-cos ec2 x
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Question # 30
The product of cube roots of unity is
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Zero
1
-1
None of these
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Question # 31
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a = a
a < a
a > a
a
2
= a
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