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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Choose an answer
none of these
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Question # 2
The matrix A = [aij]mxn with m≠n is
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Rectangular
Symmetric
Square
None
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Question # 3
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Question # 4
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 # 5
If f(x)= x
3
then f(-2) is
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-2
-4
-8
8
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Question # 6
The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is
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x
2
+ y
2
+ z
2
+ ax + by + cz = 0
x
2
+ y
2
+ z
2
- 2ax - 2 by - 2 cz = 0
x
2
+ y
2
+ z
2
= a + b + c
x
2
+ y
2
+ z
2
- ax - by - cz =0
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Question # 7
Every identity matrix is
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Row-vector
Scalar
Column-vector
All
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Question # 8
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Question # 9
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Question # 10
The roots of the equation x2 +6x-7=0,are
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1
2
1 and -7
-7
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Question # 11
If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______
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-5
5
0
1
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Question # 12
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Question # 13
The first three terms in the expansion of (1 - x)
-1
are
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1 + x + x
2
1 - x - x
2
-1 -x +x
2
1 - x + x
2
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Question # 14
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Question # 15
The product of cube roots of unity is
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Zero
1
-1
None of these
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Question # 16
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none of these
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Question # 17
i
101
=
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i
i
2
-i
-1
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Question # 18
The position vector of the point P(a, b, c) is
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Question # 19
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none of these
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Question # 20
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Question # 21
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Question # 22
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0
1
2
None of these
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Question # 23
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none of these
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Question # 24
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Question # 25
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 # 26
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Question # 27
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Question # 28
If the exponent in the binomial expansion is 6, then the middle term is
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2nd
3rd
4th
5th
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Question # 29
The curve f(x,y) = 0 has a central symmetry if
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f(-x,-y)=f(x,y)
f(x,-y)=f(x,y)
f(-x,y)=f(x,y)
f(-x,-y)≠f(x,y)
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Question # 30
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Question # 31
The foot of perpendicular from (
α
,
β
,
γ
) only y-axis is
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(
α
, 0, 0)
(0,
β
, 0)
(0, 0,
γ
)
(0, 0, 0)
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