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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The equation of the circle with centre (-h, -k) and radius r is
Choose an answer
(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 # 2
Choose an answer
0
-1
1
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Question # 3
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 # 4
A polynomial of arbitrary degree
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f(x) = o
f(x) = x
f(x) = a
f(x) = ax + b,a ≠ 0
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Question # 5
Range of 3 cot x is ______
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[-1, 1]
[-3, 3]
R
None of these
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Question # 6
An infinite sequence has no
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nth term
Last term
Sum
None of these
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Question # 7
The maximum value of the quadratic function f(x) = -2x2+20x,is
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4
3
50
7
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Question # 8
tan (
π
-
θ
) = ______
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- sin
θ
- tan
θ
- cos
θ
- cot
θ
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Question # 9
1 radian = ______
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180°
90°
57.296°
60°
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Question # 10
If there are m rows and n columns in a matrix then its order is
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m x n
m x m
n x n
n x m
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Question # 11
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Question # 12
If distance of (a,b) from y-axis is 2 then
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a = 2
b = 2
a = b
a = 4
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Question # 13
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Question # 14
If a > b or a < b than a = b is a
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Additive property
Transitive property
Trichotomy property of inequality
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Question # 15
a.a
-1
= a
-1
.a = 1 is a
Choose an answer
Commutative law of multiplication
Multiplication identity
Associative law of multiplication
Multiplication inverse
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Question # 16
If n is not natural number, then the expansion (1 + x)
n
is valid for
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Question # 17
The differential equations of all conis whose axes coincide with the co-ordinate axis is
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Question # 18
If |a x b|2 + (a,b)2 = _____
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|a|2 + |b|2
|a|2- |b|2
|a|2|b|2
None
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Question # 19
Multiplicative inverse of 0 is
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0
1
+-1
Does not exist
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Question # 20
The line y= 4x +c touches the hyperbola x2- y2 =1 if and only if
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c =±√2
c =0
c=±√17
c=±√15
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Question # 21
Choose an answer
none of these
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Question # 22
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a = -1/2, b = -1
a = 1, b = 2
a = 2, b = 3
None of above
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Question # 23
A = B iff
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All elements of A also the elements of B
A and B should be singleton
A and B have the same number of elements
If both have the same element
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Question # 24
If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is
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an ellipse
a hyperbola
a circle
a parabola
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Question # 25
If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called
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1-1 and onto
Bijective
1-1 and into
None of these
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Question # 26
The value of sin [ arc cos (-1/2)] is
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Question # 27
The roots of ax2+bx+c=0 are
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Rational ⇔ b2 -4 ac ≥ 0
Irrational ⇔ b2-4 ac > 0
Real ⇔ b2-4 ac ≠ 0
Rational⇔ b2-4 ac = 0
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Question # 28
The probability that a slip of numbers divisible by 4 is picked from the slips of number 1,2,3,4,......10 is
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1/5
2/5
1/10
3/10
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Question # 29
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Reciprocal equation
Exponential equation
Radical equation
None of these
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Question # 30
The system of measurement in which the angle is measured in radians is called the
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circular system
CGS system
sexagesimal system
none of these
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Question # 31
√(-1b) =?
Choose an answer
b i
-i b
b2
i√b
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