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ECAT Mathematics Online Test MCQs With Answers
Question # 1
If the roots of 3x2+kx + 12 = 0 are equal then k = ______
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Question # 2
Range of 3 cot x is ______
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[-1, 1]
[-3, 3]
R
None of these
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Question # 3
One degree is denoted by
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1
0
1'
1"
1 rad
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Question # 4
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2x cos x2
2sinxcosx
- sin x2
2x sin x2
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Question # 5
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Question # 6
If cos
α
= 4/5, then cos
α
/2
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Question # 7
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 # 8
The set of complex numbers forms a group under the binary operation of
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Addition
none of these
Division
Subtraction
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Question # 9
The angle of depression of the point at a distance 70 meters from the foot of the tower from the top of the tower is 45
𝜊
.The height of the tower is
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37m
97m
101m
70m
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Question # 10
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 # 11
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0
1
-1
2
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Question # 12
Range of cos x is ______
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[-1, 1]
R
Negative real numbers
R - { x | - 1 < x < 1}
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Question # 13
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Question # 14
∀x∈(a,b),f(x) is increasing if
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f′(x) >0
f′(x) <0
f′′(x) >0
f′′(x) =0
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Question # 15
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 # 16
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Question # 17
cos 315° = ______
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Question # 18
If the circumference of a circle is divided into 360 congruent parts, the angle subtended by one part at the centre of the circle is
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1
0
1'
1"
1 rad
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Question # 19
If A = {x/x is a positive integer and 4≤x<23}, then A=
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{1,2,3,4,5,6,7}
{4,5,6...........22}
{1,2,3,.........23}
{1,2,3,4,5}
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Question # 20
The equation of vertical asymptotes of y = cos ecx is
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x = 0
y = 0
x =∞
y =∞
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Question # 21
If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is
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Question # 22
If a 1-1 correspondence can be established b/w two sets A and B, then they are called
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Equal sets
Equivalent sets
Over lapping sets
None of these
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Question # 23
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Question # 24
The unit vector along x-axis is
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none of these
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Question # 25
Which conjunction is not true ?
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Question # 26
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Question # 27
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12
6
8
none of these
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Question # 28
For all positive integral value of n,3
n
< n! , when
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n> 6
n< 6
n<11
n>11
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Question # 29
A circle passing through the vertices of any triangle is called ______
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In circle
Circum circle
Escribed circle
None of these
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Question # 30
The multiplicative inverse of 1 is
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1
-1
0
Does not exist
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Question # 31
The point of concurrency of the medians of the ΔABC is called its
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Orthocenter
Centriod
Circumcentre
Incentre
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