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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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π
π / 2
π / 3
π / 4
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Question # 2
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-2x
3
2x
-3
-2x
-3
2x
3
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Question # 3
We also the system of non-homogeneous linear equations by
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a and b
b and c
c and a
a, b and c
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Question # 4
Range of cos x is ______
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[-1, 1]
R
Negative real numbers
R - { x | - 1 < x < 1}
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Question # 5
For a square matrix A, if A = A
t
, then A is called
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matrix
Transpose
Symmetric
Non-symmetric
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Question # 6
The distance between the points (1, 2) and (2, 1) is
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3
6
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Question # 7
(a,b) +(-a,-b) =
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(0,0)
(a,b)
(-a,-b)
(1,1)
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Question # 8
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 # 9
sin[cot
-1
{cos(tan
-1
x)}]=
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Question # 10
(1, 2) is in the solution of the inequality
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2x + y > 8
2x + y
<
6
2x - y > 1
2x + 3y < 2
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Question # 11
Decimal part of irrational number is
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Terminating
Repeating only
Neither repeating nor terminating
Repeating and terminating
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Question # 12
Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is
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k = 9
k = ±9
k=-9
k=11
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Question # 13
The quadratic formula is
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Question # 14
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 # 15
The distance of the point (2,-3) from y-axis is
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2
-3
1
5
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Question # 16
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Question # 17
Power set of X i.e P(X)..........under the binary operation of union U
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Forms a group
Does not form a group
Has no identity element
Infinite set although X is infinite
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Question # 18
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0
1
1/2
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Question # 19
The direction cosines of y-axis are
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1, 0, 0
0, 1, 0
0, 0, 1
1, 1, 1
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Question # 20
If y = eax sin bx and y2 - 2ay1 + (a2+b2) y=0 the for what values of a and b we have y2+10y1+34y =0
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a = -10,b=34
a=-5,b=3
a=5,b=3
a=10,b=34
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Question # 21
Let A and B be two sets. If every element of A is also an element of B then
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Question # 22
The axis of the parabola y
2
= 4ax is
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X = 0
Y = 0
X = y
X = -y
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Question # 23
If f(x) = x
2
then f(2) is
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-2
2
4
-4
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Question # 24
The distance between the points (0 , 0) and (1, 2) is
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5
0
3
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Question # 25
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sec 5x + c
- sec 5x + c
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Question # 26
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 # 27
(7, 9) + (3, -5) =
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(4, 4)
(10, 4)
(9, -5)
(7, 3)
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Question # 28
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3
2
8
0
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Question # 29
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A prime number
An integer
A whole number
An irrational number
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Question # 30
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 # 31
The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if
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A = B≠ 0
A≠ B and both are of same sign
A≠ B both are of opposite sign
Either A = 0 or B =0
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