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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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0
1
2
4
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Question # 2
If a, b, c are the measures of the sides of a triangle then
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Question # 3
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0
1
-2
10
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Question # 4
If the terminal rays of an angle falls on any axis then the angle is called
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Allied angle
Acute angle
Standard position
Quadrantal angle
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Question # 5
The general solution of the differential equation x dy / dx = 1 + y is:
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2
1
3
None
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Question # 6
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Question # 7
The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is
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Question # 8
For all points (x,y) in third quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 9
If a
1
, r are first term and the common ratio respectively then the sum of an infinite geometric series is
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Question # 10
If Z
1
= 1 + i, Z
2
= 2+3i, then |Z
2
- Z
1
| = ?
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Question # 11
If f(x) = cos x then f(0) is
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0
1
1/2
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Question # 12
A non-terminating non_recurring decimal represents an
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Irrational no
Both a & c
Rational no
None of these
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Question # 13
The line joining the center of a circle to the midpoint of the chord is
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Perpendicular to the tnagent
Perpendicular to the normal
Perpendicular to the chord
Perpendicular to the chord
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Question # 14
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Question # 15
A = B if
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A is equivalent to B
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Question # 16
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2
7
8
12
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Question # 17
The magnitude of a vector can never be
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Zero
Negative
Positive
None of these
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Question # 18
If f(x) = x
2
then f(2) is
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-2
2
4
-4
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Question # 19
√2 +√3 +√5) = (√2 +√3 +√5: this property is called
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associative property w.r.t addition
commutative property
Closure property w.r.t addition
Additive identity
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Question # 20
If a2 = b2 then
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a = b
a+b= 1
|a+b| =0
None
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Question # 21
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No solution
One real solution
More than one real solution
None of these
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Question # 22
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Question # 23
The directrix of y2 =-4ax is
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y =-a
y = a
x = a
x = -a
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Question # 24
The multiplicative inverse of -3i is
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3i
-3i
-1/3i
1/3 i
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Question # 25
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 # 26
Tan
-1
1/x = ______
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sin x
sec
-1
X
cot
-1
X
None of these
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Question # 27
Two unbiased dice are thrown. The probability that the total score is > 5 is
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1 / 18
7 / 18
13 / 18
11 / 18
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Question # 28
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Question # 29
The value of i
4n+1
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1
-1
i
i
2
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Question # 30
sin(180° -
θ)=
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cos
θ
-cos
θ
Tan
θ
Sin
θ
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Question # 31
Write down the power set of {9, 11}
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