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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
Three unbiased coins are tossed. Then the probabilities of getting two heads is
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3/8
1/8
1/4
None of these
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Question # 3
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Question # 4
If A = [aij]mxpand B =[aij]pxnthen order of BA is
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m x n
p x n
n x m
None of these
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Question # 5
Unit vector in the positive direction of x-axis is
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Question # 6
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cos 2x + c
- cos 2x + c
tan 2x + c
cot 2x + c
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Question # 7
sin(π+θ)=_______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 8
The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C
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1,2
-1,-2
2,-1
-2,1
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Question # 9
(x + 2)
2
= x
2
+ 4x
+ 4 is
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A linear equation
A cubic equation
A quadratic equation
None
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Question # 10
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Question # 11
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Question # 12
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15
15 i
-15 i
-15
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Question # 13
If |a x b|2 + (a,b)2 = _____
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|a|2 + |b|2
|a|2- |b|2
|a|2|b|2
None
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Question # 14
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Question # 15
The line 3x - 4y = 0
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Is a tangent to the circle x
2
+ y
2
= 25
Is a normal to the circle x
2
+ y
2
=25
Does not meet the circle x
2
+ y
2
= 25
Does not pass thro' the origin
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Question # 16
The straight line passing through the focus and perpendicular to the directrix of the conic is known as its
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Tangent
axis
Focal chord
major or manor axis
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Question # 17
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Closure law of addition
Associative law of addition
Commutative law of multiplication
Associative law of multiplication
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Question # 18
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Question # 19
The symbol ______ shall be used both for equation and identity
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Question # 20
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Question # 21
Rank of matrix [1 3 5 0] is
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1
3
2
4
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Question # 22
The perpendicular bisector of any chord of a circle
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Passes through the centre of the circle
Does not pass through the centre of the circle
May or may not pass through the centre of the circle
None of these
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Question # 23
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an A.P.
a G.P.
a H.P.
None of these
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Question # 24
∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of
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Commutative law of addition
Associative law of addition
Additive identity
Additive inverse
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Question # 25
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none of these
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Question # 26
(a +b
i
) -c (c +d
i
) =
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(a +b) = (c +d)
(a +c) + i(b +d)
(a -c) + (c -d)
i
(a -c) +(b -d)
i
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Question # 27
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Question # 28
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Question # 29
The tangents drawn from the point P to a circle are real and distinct if
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P is on the circle
P is inside the circle
P is outside the circle
none of these
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Question # 30
If a statement S(n) is true for n = 1 and the truth of S(n) for n = k implies the truth of S(n) for = k + 1, then S(n) is true for all
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Real numbers n
Integers n
Positive integers n
None of these
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Question # 31
If f (x) = |x|, then (0,0) is the
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Critical point
Inflection point
Stationary point
None of these
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