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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The slope of y-axis is
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0
undefined
1
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Question # 2
Range of 3 cot x is ______
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[-1, 1]
[-3, 3]
R
None of these
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Question # 3
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 # 4
An indicated sum of terms of a sequence is represented by
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Sn
an
S(n)
{Sn}
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Question # 5
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Question # 6
The value of x and y when (x + iy)2 = 5 - 4i
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x = 2, y = -1
x = -2, y = 1
x = 2, y = -i
x = 2, y = 2
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Question # 7
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1
2
3
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Question # 8
If eccentricity of ellipse becomes zero then it takes the form of
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A parabola
A circle
A straight line
None of these
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Question # 9
To each element of a group there corresponds ______ inverse element
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Two
One
No
Three
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Question # 10
The direction cosines of any normal to the xy-plane are
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<1, 0, 0>
<0, 1, 0>
<1, 1, 0>
<0, 0, 1>
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Question # 11
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none of these
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Question # 12
A polynomial of arbitrary degree
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f(x) = o
f(x) = x
f(x) = a
f(x) = ax + b,a ≠ 0
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Question # 13
The length of the tangent from (2, 1) to the circle x
2
+ y
2
+ 4y + 3 = 0 is
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Question # 14
If one root of the equation ix
2
- 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 # 15
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Question # 16
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15/23
7/15
7/8
15/7
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Question # 17
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Question # 18
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Question # 19
The law of consines is
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Question # 20
If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is
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Question # 21
If b
2
- 4ac is positive then the roots of the equation are
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Real
Imaginary
Positive
Negative
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Question # 22
The exterior angle of the interior angle C of he quadrilateral whose vertices are A(5,2),B(-2,3),C(-3,-4),D(4,-5) is
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30°
60°
45°
90°
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Question # 23
How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once?
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15
24
60
120
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Question # 24
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1
12
5
29
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Question # 25
The additive inverse of 2/3 is
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3/2
-2/3
-3/2
0
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Question # 26
The transport of a rectangular matrix is a
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Square matrix
Rectangular matrix
Row matrix
Column matrix
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Question # 27
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Question # 28
If p and q are two statements then their biconditional 'p if q' is denoted by
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Question # 29
The equation of the circle with centre origin and radius r is
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x
2
+ y
2
= 1
x
2
+ y
2
= r
2
x
2
+ y
2
= 0
x
2
- y
2
= r
2
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Question # 30
With usual notations b2 = a2 + c2 -2ac cos is called______;
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None of these
Law of sines
Law of consines
Law of tangents
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Question # 31
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