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ECAT Mathematics Online Test MCQs With Answers
Question # 1
In R, the additive identity is
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0
1
-1
None
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Question # 2
i
-(4n+2)
= -------------------------------
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1
i
-1
-i
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Question # 3
Roots of the equation 9x
2
- 12x + 4 = 0 are
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Real and equal
Real and distinct
Complex
None of these
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Question # 4
The transport of a null matrix is
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 5
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Question # 6
The span of a standard parabola depends upon
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x
a
y
y2
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Question # 7
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Question # 8
(a
-1
)
-1
=
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a
-1
a
-a
None of above
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Question # 9
(√3+√5)+√7 = √3 +(√5 +√7) property used in above is
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Commutative property of addition
Closure property of addition
Additive inverse
Associative property w.r.t to adition
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Question # 10
Two cards are drawn at random without replacement. the probability that the first is a king and second is not a king is
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48 / 663
24 / 663
12 / 663
None of these
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Question # 11
If x + y + 1 = 0 touches the parabola y
2
=
λ
x, then
λ
is equal to
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2
4
6
8
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Question # 12
If A is any matrix then its additive inverse is
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A
A
-1
A
t
-A
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Question # 13
The obtuse angle between lines = -2 and y = x +2 is
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120°
135°
150°
140°
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Question # 14
If f(x)= x
3
then f(-2) is
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-2
-4
-8
8
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Question # 15
120°=______
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Question # 16
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 # 17
A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called
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A proper fraction
An improper fraction
An equation
An identity
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Question # 18
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2 b
2 a
2 ab
a + b
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Question # 19
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Question # 20
The number of different ways of describing a set is
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One
Two
Three
Four
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Question # 21
If for two events A and B , P(A∪B)=1,then events A and B are
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Certain events
Mutually exclusive
Complementary events
Independent
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Question # 22
The set X is
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Proper Subset of X
Not A subset of X
Improper Subset of X
None of these
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Question # 23
The coefficient of xn in the expansion of (1-x)-1 is
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(-1)n2n
1
(-1)n(n+1)
(n+1)
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Question # 24
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36
360
24
6
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Question # 25
The maximum value of 12 sin
θ
-9 sin
2
θ
is x
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3
4
5
None of these
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Question # 26
The curve f(x,y) = 0 has a central symmetry if
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f(-x,-y)=f(x,y)
f(x,-y)=f(x,y)
f(-x,y)=f(x,y)
f(-x,-y)≠f(x,y)
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Question # 27
The point ________ is in the solution of the inequality 4x - 3y < 2
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(0,1)
(2,1)
(2,2)
(3,3)
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Question # 28
The complement of set A relative to universal set U is the set
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Question # 29
The condition for ax2 + bx c to be expressed as the product of linear polynomials is
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b4 - 4ac =0
b4- 4ac ≥0
b4- 4ac <0
b4= 4ac
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Question # 30
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cos x
sec x tan x
sec
2
x
-cosec
2
x
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Question # 31
Domain of 1+cot2θ=csc2θ is
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[0,π]
R-{x/x=nπ,n∈ z}
(-∞,+∞)
[-1,1]
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