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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Onto function is also called
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Binjective function
Injective function
Surjechive function
None of these
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Question # 2
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Question # 3
The law of sines can be used to solve oblique triangle when following information is given:
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Two angles and a side
Two sides and an angle opposite one of the given sides
Two sides and the angle between two sided
Option a and b
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Question # 4
The quadratic equation 8 sec2θ - 6 secθ +1 =0 has
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Infinitely many roots
Exactly two roots
Exactly four roots
No roots
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Question # 5
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Question # 6
A diagonal matrix in which the diagonal elements are equal is called a
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Null matrix
Identity matrix
Scalar matrix
Row matrix
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Question # 7
By expressing cos 113° in terms of trigonometrical ratios, answer will be
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− cos 76° = -0.7093
− cos 65° = -0.4258
− cos 67° = -0.3907
− cos 62° = -0.8520
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Question # 8
The point R dividing internally the line joining the points P(x
1
, y
1
) and Q(x
2
, y
2
) in the ratio K
1
: K
2
has the coordinates
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Question # 9
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Question # 10
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Question # 11
The set of rational numbers is subset of
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The set of natural numbers
The set of real numbers
The set of integers
The set of whole numbers
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Question # 12
The set of integer is
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Finite group
A group w.r.t addition
A group w.r.t multiplication
Not a group
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Question # 13
For trival solution |A| is
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A
|A| is non zero
A = 0
None of these
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Question # 14
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9/4
4/9
1
None of these
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Question # 15
Choose an answer
none of these
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Question # 16
The set {{a,b}} is
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Infinite set
Singleton set
Two points set
None
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Question # 17
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7
5
6
None of these
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Question # 18
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Question # 19
If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is
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x- y= 5
x+ y+ =5
x+ y= -5
5x +5y =21
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Question # 20
The harmonic mean between a and b is
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Question # 21
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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Question # 22
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Question # 23
Ifπ≤x≤2π, then cos-1 (cos x)=
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cos x
-x
1/x
-x
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Question # 24
Range of sec x is ______
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[-1, 1]
R
Negative real numbers
R = {x | -1 < x < 1}
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Question # 25
i
3
=
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-1
i
-i
1
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Question # 26
The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is
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2 x 3
3 x 2
2 x 5
5 x 2
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Question # 27
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none of these
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Question # 28
If (2,0) is the vertex and y-axis is directrix of parabola then focus is
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(2,0)
(-2,0)
(4,0)
(-4,0)
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Question # 29
w
11
= ______
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0
1
w
w
2
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Question # 30
Roots of the equation x
2
+ 2x + 3 = 0 are
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Real and equal
Real and distinct
Complex
None of these
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Question # 31
If ΔABC is right triangle then the law of Cosines reduces to
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The Pythagoras Theorem
The law of Sines
The law of cosines
The law of tangents
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