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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The range of y = sin x is ______
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[1, -1]
[-1, 1]
[0, -1]
[-
∞
+
∞
]
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Question # 2
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a cot(ax + b) + c
- a cot(ax + b) + c
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Question # 3
How many arrangements of the letter of the word PAKPATTAN can be made
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Question # 4
Fundamental law is
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Question # 5
x = sin
-1
3, then the value of sin x is
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√(3/2)
3
Not possible
-1
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Question # 6
The maximum value of sin x + cos x is
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Question # 7
Considering Cosine Rule of any triangle ABC, possible measures of angle A includes
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Angle A is obtuse
Angle A is acute
Angle A is right-angle
All of above
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Question # 8
An expression involving any of the symbols <,>,
<
or
>
is called
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equation
inequality
linear equation
identity
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Question # 9
w
11
= ______
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0
1
w
w
2
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Question # 10
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Question # 11
The distance of point P(x,y) from focus in a parabola
y
2
=4ax, is:
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2a
a
x + a
x-a
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Question # 12
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Question # 13
If eccentricity of ellipse becomes zero then it takes the form of
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A parabola
A circle
A straight line
None of these
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Question # 14
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Question # 15
For any integer k, w
n
= ______ when n = 3k
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1
2
0
-4
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Question # 16
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Question # 17
For non-trival solution |A| is
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non zero
A = 0
|A| = 0
At = 0
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Question # 18
Tangent is a periodic function and its period is ______
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2
π
3
π
π
4
π
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Question # 19
Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is
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1/12
1/6
5/12
7/12
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Question # 20
The number of words that can be formed out of the letters of the word ASSASSINATION is
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Question # 21
The domain of the function x/x
2
-4 is given by
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R
R + 2
[R - (
+
2)
R-4
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Question # 22
The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at
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(acos a,asin a)
(a,0)
(cos a,sin a)
(0,0)
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Question # 23
A line joining two distinct points on a parabola is called
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Axis
Directrix
Chord
Tangent
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Question # 24
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A = C
A = B
B = C
None of these
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Question # 25
The range of the principle cot function is
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Question # 26
There is no integer n for which 3
n
is
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Odd
even
Natural
Prime
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Question # 27
If f(x)= x
3
then f(-2) is
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-2
-4
-8
8
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Question # 28
What is the period of cos 6x =?
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π/2
π/3
π/4
π
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Question # 29
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Question # 30
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Question # 31
The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 internally
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