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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Domain of y = scs x is
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All real numbers except π/2 + n*π
R
All negative integers
None of these
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Question # 2
The sum of infinite numbers of terms of an arithmetic series is
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Finite
Infinite
May or may not finite
None of these
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Question # 3
(1,0) is in the solution of the inequality
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3x + 2y > 8
2x - 3y < 4
2x + 3y > 3
x - 2y < -5
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Question # 4
the latus rectum of the parabola x
3
= -4ay is:
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x = a
y = -a
x = -a
y = 0
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Question # 5
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 # 6
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Question # 7
The square root of 2i - 20i is
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±(5 - 2i)
±(5+ 2i)
(5 - 2i)
None of these
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Question # 8
The set {1, -1, i, -i}
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Form a group w.r.t addition
Form a group w.r.t multiplication
Does not form a group w.r.t multiplication
Not closed under multiplication
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Question # 9
tan (-135°) = ______
θ
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0
1
2
3
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Question # 10
If the intersection of two sets is non-empty, but either is a subset of other are called
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Disjoint sets
Over lapping
Equal sets
None of these
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Question # 11
The complement of set A relative to universal set U is the set
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{x / x∈ A∧ x∈ U}
{x / x∉ A∧ x ∈ U}
{x / x∈ A and x ∉ U}
A-U
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Question # 12
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Question # 13
The number of triplets (x, y, z) satisfying sin
-1
x +cos
-1
y + sin
-1
z = 2
π
is
Choose an answer
0
2
1
Infinite
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Question # 14
An infinite sequence has no
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nth term
Last term
Sum
None of these
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Question # 15
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Rational
Irrational
Natural
Odd
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Question # 16
E-radius corresponding to < C is
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Question # 17
The mid point of the line segment joining the points (a,b) and (b,a) is
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Question # 18
Sum of all the four forth roots of unity is
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1
-1
i
0
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Question # 19
∫x/Sin
2
x dx is equal to:
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x cot x + ln|sinx |
-x cot x - ln|sinx |
x cot x - ln|sinx |
x. tan x- ln|secx |
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Question # 20
The points (5, -4, 2),(4, -3, 1),(7, -6, 4),(8, -7, 5) are vertices of a
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Square
Parallelogram
Rectangle
Rhombus
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Question # 21
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P(A) + P(B)
P(A) - P(B)
P(A) . P(B)
P(A) / P(B)
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Question # 22
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Question # 23
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Addition
Multiplication
Division
Both addition and multiplication
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Question # 24
{x|x∈R∧x≠x} is a
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Infinite set
Null set
Finite set
None of these
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Question # 25
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Question # 26
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1
-1
-1/2
1/2
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Question # 27
A matrix in which the number of rows is not equal to the number of columns is called a
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Diagonal matrix
Rectangular matrix
Square matrix
Scalar matrix
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Question # 28
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Question # 29
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Question # 30
if f(x) = x
3
-3x
2
+5x -1, then f(-√2)=
Choose an answer
7+7√2
3+3√2
-7-7√2
-3-3√2
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Question # 31
The distance of the points (3, 4, 5) from y-axis is
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