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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
Sec
-1
x =
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Cos
-1
1/x
cosec
-1
1/x
Cos
-1
(-x)
Tan
-1
x
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Question # 3
The slope of x-axis is
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0
undefined
1
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Question # 4
cos (
α
+
β
) + cos (
α
-
β
) =
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4 cos
α
cos
β
2 cos
α
cos
β
2 sin
α
sin
β
2 sin
α
cos
β
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Question # 5
Let A and B be two sets. If every element of A is also an element of B then
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Question # 6
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-sin
θ
cos
θ
sin
θ
-cos
θ
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Question # 7
The equation of the circle with centre (-h, -k) and radius r is
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(x +h)
2
+ (y+k)
2
= r
2
(x +h)
2
+ (y-k)
2
= r
2
(x -h)
2
+ (y+k)
2
= r
2
(x -h)
2
+ (y-k)
2
= r
2
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Question # 8
If a > 0,b > 0, c > 0 then the roots of the equation ax2+ bx + c =0 are
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Real and negative
Non-real with negative real parts
Real and positive
Nothing can be said
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Question # 9
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a cosec(ax + b) + c
- a cosec(ax + b) + c
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Question # 10
Name the property used in 100 + 0 = 100
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Additive inverse
Multiplicative inverse
Additive identity
Multiplicative identity
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Question # 11
The equation of the circle wit (-1, 1) and radius 2 is
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Question # 12
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Question # 13
For all positive integral value of n,3
n
< n! , when
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n> 6
n< 6
n<11
n>11
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Question # 14
If p and q are two statements then their conjunction is denoted by
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Question # 15
An expression involving any of the symbols <,>,
<
or
>
is called
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equation
inequality
linear equation
identity
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Question # 16
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1
0
3
-3
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Question # 17
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Question # 18
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none of these
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Question # 19
nCn-r is equal to
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n!
n-1Cr
nCr
None of these
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Question # 20
The velocity and acceleration at any point t of a particle which moves along straight line x = 5r-3
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5,3
5,-3
5,0
10,0
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Question # 21
The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if
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Question # 22
Period of cos x is _____
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Question # 23
G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are
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2,2,2
3,3,3
2,2,4
2,3,4
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Question # 24
The sum of all positive integral multiple of 5 less than 100 is
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950
760
1230
875
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Question # 25
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Question # 26
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Polynomial
Equation
Improper rational fraction
Proper rational fraction
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Question # 27
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Question # 28
If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a
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parabola
circle
hyperbola
ellipse
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Question # 29
Tangent is ...............function
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Inverse
one-one
in-to
Periodic
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Question # 30
sin
-1
[-1/2] = ______
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Question # 31
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