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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The value of x and y when (x + iy)2 = 5 - 4i
Choose an answer
x = 2, y = -1
x = -2, y = 1
x = 2, y = -i
x = 2, y = 2
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Question # 2
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Question # 3
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1, 2, 3
1, 5, 9
2, 5, 8
3, 6, 9
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Question # 4
If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is
Choose an answer
x
2
+ Sx - P = 0
x
2
- Sx + P = 0
x
2
- Sx - P = 0
X
2
+ Sx + P = 0
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Question # 5
cos 3a =_______;
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3sin a - 4sin3 a
4sin a - 3sin3 a
3cos3 a - 4cos a
4cos3a - 3cos a
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Question # 6
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Question # 7
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-sin
θ
cos
θ
sin
θ
-cos
θ
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Question # 8
For a square matrix A, if A = A
t
, then A is called
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matrix
Transpose
Symmetric
Non-symmetric
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Question # 9
i
3
=
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-1
i
-i
1
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Question # 10
The solution set of the equation 4 cos
2
x - 3 + 0 is
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none of these
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Question # 11
A function of the form p(x)/Q(x) is called:
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Rational function
Logarithmic function
Exponential function
Hyperbolic function
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Question # 12
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R
2R
r
2r
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Question # 13
Period of 2 cos x is ______
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Question # 14
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Two real roots
Two positive roots
Two negative roots
One positive and one negative root
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Question # 15
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Associative law of multiplication
Commutative law of addition
Commutative law of multiplication
Associative law of addition
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Question # 16
A vector of magnitude zero is called
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Position vector
Null vector
Free vector
None of these
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Question # 17
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Question # 18
Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....
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3.5
3
4
None of these
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Question # 19
If the roots of ax
2
- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is
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Question # 20
A joint equation of the lines through the origin and perpendicular to the lines ax2 +2hxy +by2 =0 is indentical is ax2 +2hxy +by2 =0 if
Choose an answer
h2 = ab
a + b =0
a = b
a≠ b
a = b = 0
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Question # 21
Which of the following represents a vector
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(x, y)
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Question # 22
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none of these
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Question # 23
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Question # 24
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Question # 25
If a plane passes through the vertex of a cone then the intersection is
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an ellipse
a hyperbola
a point circle
a parabola
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Question # 26
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One-one but not onto
One-one and onto
Onto but not one-one
Neither one-one nor onto
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Question # 27
The degree of differential equation is the power of the
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Lowest order derivative
Highest order derivative
Integral
All are correct
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Question # 28
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Question # 29
π is the ration of
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Area of a circle to its diameter
Area of a circle to its radius
Circumference of a circle to its diameter
Circumference of circle to its radius
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Question # 30
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Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 31
Matrix multiplication is
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Commutative
Not commutative
Not associative
Not distributive
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