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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Let P(x
1
, y
1
) and Q(x
2
, y
2
) be two points in the co-ordinate plane. Let d = distance between P and Q
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Question # 2
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trigonometric equation
conditional equation
identity
None
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Question # 3
The two lines y = 2x and x =2y are
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Parallel
Perpendicular
Equally inclined with axes
Congruent
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Question # 4
sin 3a = ______;
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3sin a - 4sin3a
4sin a -3 sin3 a
3 cos3 a -cosa
4cos3 a - 3cos a
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Question # 5
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Question # 6
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12
6
8
none of these
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Question # 7
If a polynomial p(x) is divided by x-c, then the remainder is
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p(x)
x-c
c
P(c)
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Question # 8
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2
7
8
12
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Question # 9
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Question # 10
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1 + tan
2
x + c
tan x + c
-tan x + c
cot x + c
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Question # 11
if one root of the equation ix2 - 2(i + 1) x +(2 - i)= 0 is 2 - i then the other root is
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-i
2 + i
i
2 - i
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Question # 12
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Question # 13
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Question # 14
The equation of the chord of the circle x
2
+ y
2
- 4x = 0 whose mid-point is (1, 0) is
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y = 2
y = 1
x = 2
x = 1
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Question # 15
How many arrangements of the letter of the word PAKPATTAN can be made
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Question # 16
What is the period of sin 2x/3 cos 4x=?
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Ï€
2Ï€
Ï€/2
Ï€/3
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Question # 17
The set {{a,b}} is
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Infinite set
Singleton set
Two points set
None
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Question # 18
The null vector is regarded to be perpendicular to
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Every vector
In some cases
Both a b
None
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Question # 19
Tan(
α
-
β
)=
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Question # 20
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4(x
3
- 3x
2
)
3
+ c
3x
2
- 6x + c
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Question # 21
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Question # 22
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Question # 23
(x + 2)
2
= x
2
+ 4x
+ 4 is
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A linear equation
A cubic equation
A quadratic equation
None
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Question # 24
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Question # 25
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Question # 26
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Question # 27
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x
y
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Question # 28
Derivative of strictly increasing function is always
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Zero
Positive
Negative
Both (A) and (B)
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Question # 29
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Question # 30
A sequence is a functions whose domain is a subset of the set of
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Natural numbers
Real numbers
Whole numbers
Rational numbers
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Question # 31
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