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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Choose an answer
image
pre-image
constant
none of these
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Question # 2
If the roots of x
2
+ ax + b = 0 are non-real, then for all real x, x
2
+ ax + b is
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Negative
Positive
Zero
Nothing can be said
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Question # 3
The square root of every incomplete square is an
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Rational numbers
Even numbers
odd numbers
Irrational numbers
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Question # 4
The range of the principle cos function is
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Question # 5
Period of tan 4x is ______
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Question # 6
An integral of 1/x dx is:
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1/x
2
1/-x
2
1/lnx
lnx
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Question # 7
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0
-1
1
1/2
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Question # 8
The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at
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(1,1)
(0,1)
(1,0)
(0,0)
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Question # 9
The set of complex numbers forms a group under the binary operation of
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Addition
none of these
Division
Subtraction
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Question # 10
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0
1
2
3
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Question # 11
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I and
I
I quadrants
I
I and
I
I
I quadrants
I
I
I and
I
V
quadrants
none of these
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Question # 12
The points A(3,1),B(-2,-3),C(2,2) are vertices of an (an)
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Right triangle
Equilateral triangle
Isosceles triangle
Scalene triangle
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Question # 13
For all points (x,y) on x-axis
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x is positive
x is negative
y = 0
y is negative
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Question # 14
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6
20
0
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Question # 15
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Question # 16
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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Question # 17
Roots of the equation 2x
2
- 7x + 3 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 18
The mid point of the line segment joining the points (a,b) and (b,a) is
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Question # 19
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a cot(ax + b) + c
- a cot(ax + b) + c
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Question # 20
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Question # 21
sin(180° -
θ)=
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cos
θ
-cos
θ
Tan
θ
Sin
θ
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Question # 22
Union of the sets of rational and irrational numbers is called 6th set of
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Natural numbers
Real numbers
Whole numbers
Prime numbers
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Question # 23
Root of the equation 3
x-1
+ 3
1-x
= is
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2
1
0
-1
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Question # 24
If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is
Choose an answer
x- y= 5
x+ y+ =5
x+ y= -5
5x +5y =21
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Question # 25
If x
2
+ px + 1 is a factor of ax
3
+ bx +c, then
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a
2
+ c
2
= -ab
a
2
- c
2
= -ab
a
2
- c
2
= ab
None of these
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Question # 26
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Question # 27
The length of perpendicular from (3,1) to 4x +3y +20 =0 is
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6
7
3
8
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Question # 28
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Question # 29
Domain of tan x is ______
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Question # 30
The order of the matrix [1 2 3] is
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1 x 1
3 x 3
3 x 1
1 x 3
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Question # 31
The roots of the equation will be irrational if b
2
- 4ac is
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Positive and perfect square
Positive but not a perfect square
Negative
Zero
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