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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
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A natural number
A rational number
An irrational number
A whole number
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Question # 3
The point (x
1
, y
1
) lies outside the circle x
2
+ y
2
+ 2gx + 2fy + c =0 if
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Question # 4
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a
2
b
2
c
2
4a
2
b
2
c
2
4abc
None
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Question # 5
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(x
3
- 3x
2
)
8
+ c
3x
2
- 6x + c
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Question # 6
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0
-1
1
not defined
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Question # 7
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The law of sines
The law of tangents
The pythagorus theorem
None of these
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Question # 8
The set of all positive even integers is
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Not a group
A group w.r.t subtraction
A group w.r.t division
A group w.r.t multiplication
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Question # 9
x
2
+ x - 6 = 0 is a conditional equation and it is true for
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2, 3
2, -3
-2, -3
-2, 3
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Question # 10
The set of complex numbers forms
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Commutative group w.r.t addition
Commutative group w.r.t multiplication
Commutative group w.r.t division
Non commutative group w.r.t addition
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Question # 11
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Question # 12
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Question # 13
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Question # 14
Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always
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Positive
Negative
Real
None of these
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Question # 15
The square matrix A is skew Hermitian when (A)'=
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A
A'
-A
A
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Question # 16
If the terminal rays of an angle falls on any axis then the angle is called
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Allied angle
Acute angle
Standard position
Quadrantal angle
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Question # 17
Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when
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q = 0, r = 0,p ≠ 0
p = 0,qr≠ 0
r = 0,pq≠ 0
q = 0, pq≠ 0
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Question # 18
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 19
A circle passing through the vertices of any triangle is called
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Circumcirle
Incircle
Escribed circle
Unit circle
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Question # 20
If the domain of sequence is finite set then the sequence is called
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geometric sequence
infinite sequence
finite sequence
arithmetic sequence
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Question # 21
If y = eax sin bx and y2 - 2ay1 + (a2+b2) y=0 the for what values of a and b we have y2+10y1+34y =0
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a = -10,b=34
a=-5,b=3
a=5,b=3
a=10,b=34
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Question # 22
sin h x = ___________
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Question # 23
The range of y = cot x = ______
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-
∞
> y > +
∞
-
∞
> x > +
∞
-
∞ <
y < +
∞
None of above
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Question # 24
If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of
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Irrational numbers
Even numbers
Rational numbers
Whole numbers
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Question # 25
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Question # 26
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2x
3x
2
1
0
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Question # 27
Three consecutive terms of a progression are 30, 24, 20. The next terms of the progression is
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Question # 28
The equation of a line parallel to the tangent to the circle x
2
+ y
2
= 16 at the point (2, 3) and passing thro' the origin is
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2x + 3y = 0
2x - 3y = 0
3x + 2y = 0
3x - 2y = 0
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Question # 29
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Question # 30
A matrix with a single row is called a
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Column matrix
Row matrix
Null matrix
Identity matrix
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Question # 31
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5
20
9
4
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