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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The seventh term of (x3+1/x)8is
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71
-22
27
28
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Question # 2
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2
2
- n - 1
1 - 2
-n
n + 2
-n
-1
2
n
- 1
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Question # 3
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Question # 4
Range if y = cos x is
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-1≤ y≤ 1
-1 < y < 1
-∞ < x < +∞
None of these
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Question # 5
The coefficient of xn in the expansion of (1-x)-1 is
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(-1)n2n
1
(-1)n(n+1)
(n+1)
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Question # 6
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2
4
3
16
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Question # 7
If y = 2x , then
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y1 -ln2y = 0
y2-(ln2)2 y = 0
y2-(ln2)y1 = 0
All are correct
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Question # 8
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1
3
2-i
-1
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Question # 9
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1
0
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Question # 10
In the function f: A⟶B, the elements of a are called
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Images
Pre-images
ranges
Parameters
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Question # 11
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Question # 12
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45°
30°
75°
60°
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Question # 13
If a polynomial P(x) is divided by x - a, then the remainder is
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P(o)
P(-a)
P(a)
None of these
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Question # 14
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4
3
2
1
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Question # 15
Which of the following integrals can be evaluated
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Question # 16
The lotus of intersection of perpendicular tangents to the parabola y
2
= 4ax is:
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Axis of the parabola
Focal chord of the parabos
The tangent at vertex of the parabola
a directrix of the parabola
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Question # 17
The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the
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Angle of depression
Angle of elevation
Acute angle
Obtuse angle
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Question # 18
A function whose range is just one element is called
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One-one function
Constant function
Onto function
Identity function
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Question # 19
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Question # 20
9. 8. 7. 6= ______
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Question # 21
The unit vector along y-axis is
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none of these
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Question # 22
sin (
α
+
β
) - sin (
α -
β
) =
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4 cos
α
sin
β
2 cos
α
sin
β
4 cos
α
cos
β
4 sin
α
sin
β
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Question # 23
The point of concurrency of the right bisectors of the sides of a triangle is called
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incentre
circum center
e-center
centroid
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Question # 24
If a = {2m/2m < 9 ,m€ p} , the (n A) =
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{2,3,4,5,6,7,8}
{2,4,6,8............16}
{ 4, 6}
{2,3,5,7}
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Question # 25
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Question # 26
If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is
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0
±1
±5
±7
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Question # 27
QUQ'
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Question # 28
Express as a sum or difference: 2 sin 5
θ
cos
θ
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cos 4
θ
- cos 2
θ
sin 4
θ
+ sin 2
θ
cos 4
θ
+ cos 2
θ
sin 4
θ
- sin 2
θ
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Question # 29
tan
-1
(1/4) + tan
-1
(2/9) is equal to
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1/2 cos
-1
(3/5)
1/2 sin
-1
(3/5)
1/2 tan
-1
(3/5)
tan
-1
1/2
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Question # 30
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Question # 31
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2
-3/2
1
0
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