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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is
Choose an answer
none of these
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Question # 2
Co-ordinate of a point on the parabola y
2
= 8x whose focal distance is 4 are:
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(2 , 4)
(-2 ,-4)
(-2, 4)
(2,-4)
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Question # 3
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Question # 4
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y/x
x/y
y/z
None
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Question # 5
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cos 2x
2 cos 2x
2 sin2x
-2 cos2x
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Question # 6
The points (5, -4, 2),(4, -3, 1),(7, -6, 4),(8, -7, 5) are vertices of a
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Square
Parallelogram
Rectangle
Rhombus
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Question # 7
The directrix of y2 =-4ax is
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y =-a
y = a
x = a
x = -a
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Question # 8
Form a group of 5 men and 3 women, a committee of 4 persons is to be selected randomly. The probability that there is a majority of men is
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1/4
1/3
1/2
1/6
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Question # 9
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Question # 10
The range of inequality x + 2 > 4 is
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(-1, 2)
(-2, 2)
(1,
∞
)
None
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Question # 11
The distance between two points P(x
1
, y
1
) and Q (x
2
, y
2
) is
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Question # 12
Range of cosec x is ______
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{-1, 1}
R
Negative real numbers
R - { x | - 1 < x < 1}
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Question # 13
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none of these
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Question # 14
The identity element with respect to subtraction is
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0
1
-1
Does not exist
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Question # 15
The number of tangents to the circle x2+ y2 -8x -6y +9 =0 which pass through the point (3,-2) is
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2
1
0
None of these
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Question # 16
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none of these
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Question # 17
If C is the mid point of AB and P is any point outside AB, then
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Question # 18
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0
1
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Question # 19
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Question # 20
If x
3
+ ax
2
- a
2
x - a
3
is divided by x + a, then the remainder is
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0
a
3
2a
3
-2a
3
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Question # 21
cos(a-β) = ______;
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sin a cosβ + cos a sinβ
sin a cos β - cos a sinβ
cos a cos β + sin a sinβ
cos a cosβ - sin a sinβ
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Question # 22
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0
1
2
3
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Question # 23
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Question # 24
Cot 45° = ______
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Question # 25
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Question # 26
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Question # 27
The transport of a square matrix is a
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 28
A square matrix A = [aij] is lower triangular matrix when:
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aij = 0 for all i < j
bij = 0
cij = 0
dij =0
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Question # 29
x = 0 is in the solution of the inequality
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x > 0
3x + 4 < 0
x + 3 < 0
x - 2 < 0
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Question # 30
The range of function f(x)=-x2+2x-1 is
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R
(-∞,0]
(-∞,1]
[0,∞)
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Question # 31
If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is
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0
±1
±5
±7
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