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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at
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(acos a,asin a)
(a,0)
(cos a,sin a)
(0,0)
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Question # 3
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12
6
8
none of these
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Question # 4
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Question # 5
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Question # 6
The number of proper subset of A ={a.b.c.d} is
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3
6
8
15
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Question # 7
The distance between the points A(3,1) and B(-2,-4) is
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5
25
10
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Question # 8
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a
x
a
x
In a
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Question # 9
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None of these
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Question # 10
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Even
Odd
Prime
None of these
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Question # 11
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Question # 12
I is not
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Real number
Natural number
Prime Number
Whole Number
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Question # 13
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Question # 14
The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are
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Question # 15
The coefficient of the second term of (a+b)
4
is
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1
9
3
5
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Question # 16
Range of y = sec x is
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-1≤ y≤ 1
y≥ 1 or y≤ -1
y≤ 1or y≥ -1
-∞ < y < +∞
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Question # 17
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I and
I
I quadrants
I
I and
I
I
I quadrants
I
I and
I
V
quadrants
none of these
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Question # 18
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Lies between 4 and 7
Lies between 5 and 9
Has no value between 4 and 7
Has no value between 5 and 9
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Question # 19
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a
x
In a + c
a
x
+ c
x a
x
+ c
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Question # 20
A bag contains 5 white, 7 red and 5 black balls. If four balls are drawn one by one with replacement, the probability that none is white is
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(11/16)
2
(5/16)
2
(11/16)
4
(5/16)
4
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Question # 21
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Question # 22
s > t then
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(s - t)
2
> (t - s)
2
(s - t)
2
< (t - s)
2
(s - t)
2
= (t - s)
2
None
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Question # 23
(a, b) + (-a, -b) =
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(0,0)
(a, b)
(-a, -b)
(1, 1)
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Question # 24
The sum of the even coefficients in the expansion (1 + x)
n
is
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n
2
2
n-2
2
n-1
2
n
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Question # 25
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
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h2 = ab
a + b =0
a = b
a≠ b
a = b = 0
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Question # 26
A man of height 6 ft observes the top of a tower and the foot of the tower at angles of 45° and 30° of elevation and depression respectively. The height of the tower is
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Question # 27
Sum of first n terms of an arithmetic series is
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Question # 28
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0
1
-1
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Question # 29
If f(x) = ax
2
, and a>0, then the lowest point on the parabola is called.
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Vertex of parabola
Co-ordinates of parabola
Roots of the equation
Coefficient of the equation
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Question # 30
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xy
y
0
x
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Question # 31
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A
A'
U
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