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ECAT Mathematics Online Test MCQs With Answers
Question # 1
f(x) = ax + b will be an identity function if
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a = 1 , b = 1
a = 1 , b = 0
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Question # 2
A quadratic equation in x is an equation that can be witten in the form
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ax
2
+ b = 0
ax
3
+b
2
+c=0
ax
2
+bx+c=0
ax
3
+bx
3
+cx=0
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Question # 3
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Question # 4
A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random, then the probability that both the ball are white is
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1/18
1/12
1/36
None of these
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Question # 5
If (0, 0) and (0, -1) are end points of a diameter, then the equation of the circle is
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Question # 6
The unit vector along z-axis is
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none of these
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Question # 7
Additive inverse of -a -b is
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a
-a + b
a - b
a + b
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Question # 8
If ax + bx + c =0 is satisfied by every value of x,then
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b = 0,c = 0
c = 0
b = 0
a = b = c = 0
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Question # 9
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A finite set
An infinite set
An empty set
None of these
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Question # 10
Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0
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(1,4)
(4,2)
(3,1)
(4,1)
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Question # 11
The range of the principle cot function is
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Question # 12
The interval in which f(x)=x3-6x2+9x is increasing
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1<x<3
x<1 and x>3
X ≥1 and x ≤ 3
-∞ < x < ∞
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Question # 13
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I3
rI3
r
none
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Question # 14
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Question # 15
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I quadrant
II quadrant
III quadrant
IV quadrant
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Question # 16
Two quadratic equation in which xy term is missing and the coefficients of x
2
and y
2
are equal, give a linear equation by ______
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Addition
Subtraction
Multiplication
Division
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Question # 17
Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for
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BA
A2
AB
B2
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Question # 18
If n is any positive integer then n! > n
2
for
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Question # 19
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I and II quadrants
I and III quadrants
II and III quadrants
II and IV quadrants
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Question # 20
(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 # 21
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Question # 22
ax + by < c is linear inequality in
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four variables
three variables
two variables
one variable
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Question # 23
The solution set of the equation tan
-1
x - cot
-1
x = cos
-1
(2 - x) is
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[0, 1]
[-1, 1]
[1, 3]
None of these
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Question # 24
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 # 25
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none of these
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Question # 26
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Question # 27
A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP
2
+ CQ
2
+ CR
2
+ CS
2
=
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r
2
2 r
2
3 r
2
4 r
2
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Question # 28
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Question # 29
If 0 = {1,3,5.......}, then n (0) =
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99
odd integers
Even numbers
Infinite
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Question # 30
(x + 2)
2
= x
2
+ 4x + 4 is
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A linear equation
A cubic equation
A quadratic equation
None
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Question # 31
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A prime number
An integer
A whole number
An irrational number
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