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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Choose an answer
A onto B
both a & c
A into B
none of these
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Question # 2
In R the right cancellation property w.r.t. addition is
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Question # 3
Choose an answer
1
-1
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Question # 4
Choose an answer
z is purely imaginary
a is any complex number
z is real
None of these
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Question # 5
The exact value of cos-1 (0) is
Choose an answer
π/2
-π/2
3π
π-π/6
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Question # 6
3x + 4
<
0 is
Choose an answer
not inequality
equation
identity
inequality
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Question # 7
The function f{(x, y) | y = ax
2
+ bx + c} is
Choose an answer
One-one function
Constant function
Onto function
Quadratic function
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Question # 8
The set of the first elements of the orders pairs forming a relations is called its
Choose an answer
Relation in B
Range
Domain
Relation in A
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Question # 9
Rational number is a number which can be written as a terminating decimal fraction or a
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Non-terminating decimal fraction
Non-recurring
Recurring decimal fraction
a, b and c
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Question # 10
For any set X, X∪X is
Choose an answer
X
X'
Φ
Universal Set
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Question # 11
If f(x) = x
2
then f(0) is
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0
1
2
none of these
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Question # 12
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Question # 13
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Question # 14
Period of tan 4x is ______
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Question # 15
If 2 tan
1
(cos x) = tan
-1
(cosec
2
x), then x is equal to
Choose an answer
π
/ 3
π
/ 2
π
/ 6
π
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Question # 16
If f(√x)=sin x , then f′(x) =______;
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2xcosx2
cosx2
cos√x
None of these
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Question # 17
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Question # 18
The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 externally are
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Question # 19
In one hour, the minute hand of a clock turns through
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Question # 20
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Question # 21
The equation of the circle with centre (-h, -k) and radius r is
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(x +h)
2
+ (y+k)
2
= r
2
(x +h)
2
+ (y-k)
2
= r
2
(x -h)
2
+ (y+k)
2
= r
2
(x -h)
2
+ (y-k)
2
= r
2
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Question # 22
A diagonal matrix in which the diagonal elements are equal is called a
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Null matrix
Identity matrix
Scalar matrix
Row matrix
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Question # 23
An open sentence formed by using the sign of equality "=" is called
Choose an answer
Equation
In equation
True sentence
False sentence
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Question # 24
Choose an answer
A = C
A = B
B = C
None of these
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Question # 25
If A and B are two sets then any subset R of A x B is called
Choose an answer
relation on A
relation on B
relation from A to B
relation from B to A
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Question # 26
The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is
Choose an answer
none of these
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Question # 27
The solution set of sin x + cos x = 0 is
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Question # 28
Which of the following sets is finite
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The set of natural numbers between 3 and 10
The set of rational numbers between 3 and 10
The set of real numbers between 0 and 1
The set of rational numbers between 0 and 1
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Question # 29
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Question # 30
The roots of the equation ax
2
+ bx + c = 0 are complex/imaginary if
Choose an answer
b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 31
Which one is quadrantal angle
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8181710°
2345°
-8181180°
-2344°
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