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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The distance of the point (a, b) from x-axis is
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a
b
a + b
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Question # 2
e-radii are denoted by
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η
r2
r3
All of these
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Question # 3
If a,b,c are unit vectors then |a + b|2 +|a - b|2
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4
8ab
9cos
4(a,b)
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Question # 4
Which of the following is a quadrantal angle
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100°
200°
170°
270°
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Question # 5
If x - 1 is a factor of x4 - 5x2 + 4 then other factor is
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(x + 2)2(x - 1)
(x + 2)(x - 1)2
(x+2)(x2- x- 2)
(x + 2)2(x - 1)2
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Question # 6
sin(π+θ)=_______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 7
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0
1
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Question # 8
If in the expansion of (1+x)
n
, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=
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4
5
6
7
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Question # 9
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Question # 10
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Question # 11
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are real no
both are not real
are imaginary no
both are imaginary
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Question # 12
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1
0
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Question # 13
i =
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Question # 14
How many arrangements of the letters of the word ADDING can be made
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Question # 15
If the roots of 3x2+kx + 12 = 0 are equal then k = ______
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Question # 16
If c is a constant number and if f is the function defined by the equation f(x) =c for all values of x, then f is differentiable at every x and f is defined by the equation f(x)
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f
1
C
0
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Question # 17
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Question # 18
If z
1
= 1 + 2i, z
2
= 3 + 4i then
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z
1
> z
2
z
1
= z
2
z
1
< z
2
None of these
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Question # 19
The equation of line passing through intersection of line x = 0 and y = 0 and the point (2,2) is
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y = x
y = x - 1
y = x + 1
y = x + 1
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Question # 20
In a triangle if a > 45°,β > 30° then y cannot be
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90°
100°
10°
120°
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Question # 21
For any integer k, w
n
= ______ when n = 3k
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1
2
0
-4
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Question # 22
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0
1
-1
none of these
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Question # 23
Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is
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2
3
4
1
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Question # 24
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30°
45°
60°
90°
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Question # 25
x
3
+ 2x
2
- 3x + 5 is ______
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An equation
A polynomial
Proper rational fractions
Improper rational fractions
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Question # 26
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 # 27
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5
20
9
4
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Question # 28
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Question # 29
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a = 2, b = 3
a = 3, b = 2
a = 2, b = 1, 2
a = 3, b = 3
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Question # 30
f(x) = C is
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identity function
constant function
linear function
quadratic function
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Question # 31
The roots of the equation will be irrational if b
2
- 4ac is
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Positive and perfect square
Positive but not a perfect square
Negative
Zero
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