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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Equation of normal to the circle x2 + y2 =25 at (5cosθ,5sinθ)
Choose an answer
xcosθ+ysinθ =5
xcosθ -ysinθ =0
xsinθ -ycosθ =0
None of these
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Question # 2
Find the next two terms of 7, 9, 12, 16,...
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18, 20
19, 22
20, 25
21, 27
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Question # 3
The first three terms in the expansion of (1 + x)
-2
are ______
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1 - 2x + 3x
2
1 - 2x - 3x
2
1 + 2x + 3x
2
-2 -2x + 3x
2
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Question # 4
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Question # 5
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Question # 6
The corner point of the boundary lines, x-2y
2x + y = 2 is:
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(2,6)
(6,2)
(-2,2)
(2,-2)
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Question # 7
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 # 8
The triangle that does not have a right angle is called.
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Isosceles triangle
right angle triangle
equivalent triangle
oblique triangle
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Question # 9
Choose an answer
0
1
-2
10
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Question # 10
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Question # 11
If Z
1
= 1 + i, Z
2
= 2+3i, then |Z
1
- Z
2
| = ?
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Question # 12
The number of permutation that can be formed from the letters of the word OBJECT is
Choose an answer
700
600
720
620
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Question # 13
the largest degree of the terms in the polynomials is called
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terms of the polynomial
degree of a polynomial
co-efficient
monomial
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Question # 14
The domain of f(x) = log x is
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[0,
∞
]
(0,
∞
)
[0,
∞
[
[
∞
,
∞
]
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Question # 15
Sec
-1
x =
Choose an answer
Cos
-1
1/x
cosec
-1
1/x
Cos
-1
(-x)
Tan
-1
x
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Question # 16
If (0, 0) and (-1, 0) are end points of a diameter, then the equation of the circle is
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Question # 17
If A is a skew-symmetric matrix of order n and P, any square matrix of order n.prove that P' AP is
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Skew-symmetric
Symmetric
Null
Diagonal
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Question # 18
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Question # 19
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Question # 20
Choose an answer
(x
3
- 3x
2
)
8
+ c
3x
2
- 6x + c
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Question # 21
The number of points of intersection of two curves y = 2 sin x and y = 5x
2
+ 2x + 3 is
Choose an answer
0
1
2
None of these
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Question # 22
There is no element common in
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N and W
E and W
N and O
Q and Q'
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Question # 23
Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8
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Associative property of addition
Associative property of multiplication
Additive identity
Multiplicative identity
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Question # 24
Choose an answer
0
1
2
None of these
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Question # 25
If the roots of 3x2+kx + 12 = 0 are equal then k = ______
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Question # 26
In one hour the minute hand of a clock turns through
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Question # 27
The third term of a G.P. is 4, The product of first five terms is
Choose an answer
43
45
46
None of these
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Question # 28
Sequence also called..............
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Series
Function
progressions
Elements
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Question # 29
No term of a geometric sequence can be
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0
1
2
3
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Question # 30
Choose an answer
none of these
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