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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
General solution of tan 5
θ
= cot 2
θ
is
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Question # 3
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Question # 4
The distance between the points (2, 2) and (3, 3) is
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10
5
2
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Question # 5
Range of sin
θ
is
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Question # 6
The centre fo the circle x
2
+ y
2
+ 12x -10 = 0 is
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(12, -10)
(6, -5)
(-12, 10)
(-6, 5)
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Question # 7
The number of combinations of 10 different objects taken 8 objects at a time is
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90
45
55
50
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Question # 8
IfΔABC is right, law of cosine reduce to
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Law of sine
Law of tangent
Phthogorous theorem
Hero's formula
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Question # 9
1 degree = _______
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0.00175 rad
0.175 rad
0.0175 rad
1.75 rad
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Question # 10
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Question # 11
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Question # 12
cos(a-β) = ______;
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sin a cosβ + cos a sinβ
sin a cos β - cos a sinβ
cos a cos β + sin a sinβ
cos a cosβ - sin a sinβ
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Question # 13
Period of tan x is ______
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Question # 14
An unbiased die is thrown. Then the probability of getting a prime is
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1/2
2/3
3/4
None of these
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Question # 15
E-radius corresponding to < B is
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Question # 16
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16 / 7
6 / 17
7 / 16
None of these
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Question # 17
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Question # 18
graph of sine function is bounded between lines
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y± 1 = 0
x± 1 = 0
x± y - 0
None of these
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Question # 19
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Question # 20
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k3
0
3k
k6
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Question # 21
For a square matrix A, if A = A
t
, then A is called
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matrix
Transpose
Symmetric
Non-symmetric
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Question # 22
The number of divisors of 1029, 1547 and 122 are in
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A.P.
G.P.
H.P.
None of these
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Question # 23
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3 x 1
1 x 3
3 x 3
1 x 1
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Question # 24
Through how many radians does the hour hand of a clock turn in one hour
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Question # 25
The differential equation of all st. lines which are at a constant distance to form the origin is
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Question # 26
An even function is symmetric about the line
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y = x
x = 0
y = -x
y = 0
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Question # 27
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2x - 3x + c
x
2
- 3x + c
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Question # 28
The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is
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2:3
-2:3
3:2
-3:2
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Question # 29
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Commutative law of multiplication
Closure law of multiplication
Associative law of multiplication
Multiplication identity
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Question # 30
The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is
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x
2
+ y
2
+ z
2
+ ax + by + cz = 0
x
2
+ y
2
+ z
2
- 2ax - 2 by - 2 cz = 0
x
2
+ y
2
+ z
2
= a + b + c
x
2
+ y
2
+ z
2
- ax - by - cz =0
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Question # 31
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(-1, 2)
(-1, 1)
(1, 2)
{-1}
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