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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Zero matrix
Diagonal matrix
Column matrix
Scalar matrix
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Question # 2
The liner equation ax + by = c is called _________ of the inequality ax +by > c.
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Associated equation
Non-associated equation
disjoint equation
Feasible equation
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Question # 3
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4A - 3I
3A - 4I
A - I
None of these
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Question # 4
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Question # 5
sin 2
α
=
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Question # 6
The formula an = a +(n-1)d for an A.P is called
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nth term of an A.P
Sum of first n terms
A,M between a and b
None of the above
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Question # 7
If x = 1/x for x ∈ R then the value of x is
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±1
0
2
4
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Question # 8
If cos (2 sin-1 x) = 1/9 , then what is the value of x?
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1/3
-2/3
2/3
2/3 , -2/3
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Question # 9
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16
None of these
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Question # 10
√23 is
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A rational number
A irrational number
An even integer
A factor of 36
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Question # 11
The exact degree value of the function sin-1( -√3/2) is
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70
ο
50
ο
90
ο
60
ο
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Question # 12
The equation x
2
+ y
2
= 0 represents
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A circle
A degenerate circle
An empty set
A st. line
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Question # 13
Domain of y = cot x = ______
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Question # 14
A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP
2
+ CQ
2
+ CR
2
+ CS
2
=
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r
2
2 r
2
3 r
2
4 r
2
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Question # 15
A square is inscribed in the circle x
2
+ y
2
- 2x + 4y + 3 =0. Its sides are parallel to the co-ordinate axes. Then one vertex of the square is
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Question # 16
For the parabola the line through focus and perpendicular to the directrix is called
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Tangent
Vertex
Axis
None
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Question # 17
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Question # 18
Two positive integers whose sum is 30 and their product will be maximum are
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12,18
10,20
15,15
14,16
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Question # 19
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Question # 20
If S
r
denotes the sum of the first r terms of a G.P., then S
n
, S
2n
- S
n
, S
3n
- S
2n
are in
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A.P.
G.P.
H.P.
None of these
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Question # 21
The roots of px2 - (p-q)x-q=0 are
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equal
Irrational
Rational
Imaginary
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Question # 22
If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length
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|u+v|
|u|+|v|
|u-v|
|u|-|v|
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Question # 23
The slope of x-axis is
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0
undefined
1
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Question # 24
For any set X, X∪X is
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X
X'
Φ
Universal Set
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Question # 25
The equation |x +4| = x has solution
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x = -2
x = 2
x = -4
x = 4
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Question # 26
The set of all positive even integers is
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Not a group
A group w.r.t subtraction
A group w.r.t division
A group w.r.t multiplication
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Question # 27
The roots of the equations will be equal if b
2
- 4ac is
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Positive
Negative
1
Zero
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Question # 28
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One-one but not onto
One-one and onto
Onto but not one-one
Neither one-one nor onto
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Question # 29
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0
1
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Question # 30
If a polynomial P(x) is divided by x + a, then the remiander is
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P(a)
P(-a)
P(0)
None of these
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Question # 31
In set builder notation the set {0,1,2,........100} can be written as
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{x / xε B ∧ x ≤ 100}
{x / x ∈ W ∧ x < 101}
{x / x ∈ Z ∧ x < 101}
The set of first 100 whole numbers
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