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ECAT Mathematics Online Test MCQs With Answers
Question # 1
If |αi + (α+1)j +2k| =3 then value of α is
Choose an answer
1,2
-1,-2
1,-2
-1,2
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Question # 2
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an A.P.
a G.P.
a H.P.
None of these
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Question # 3
2cos2 a/2 =______;
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1+sina
1-sina
1+cosa
1-cosa
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Question # 4
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Question # 5
What is the axis of the parabola y
2
= 4ax?
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x = 0
y = 0
x = a
y = 0
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Question # 6
Roots of the equation x
2
- x = 2 are
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{2, -1}
{1, 0}
{2, 1}
{-2, 1}
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Question # 7
The middle term in the expansion of (a +x)
12
is
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7th
8th
9th
6th
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Question # 8
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n
C
r
n+1
C
r+1
n
C
r+1
None
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Question # 9
The roots of the equation ax
2
+ bx + c = 0 are complex/imaginary if
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b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 10
The distance s of a particle in time t is given by s = t
3
- 6t
2
- 4t - 8. Its acceleration vanishes at t =
Choose an answer
1
2
3
4
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Question # 11
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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Question # 12
w
73
= ______
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0
1
w
w
2
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Question # 13
If S is a sample space and event set E =Φ then P(E) is
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>0
1
<1
0
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Question # 14
The position vector of any point in space is
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Question # 15
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Question # 16
If sin 6
θ
+ sin 4
θ
+ sin 2
θ
, then
θ
=
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Question # 17
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2x
3x
2
1
0
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Question # 18
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Question # 19
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The law of consines
The law of sines
The law of tangents
None of these
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Question # 20
The mid point of the line segment joining the points (a,b) and (b,a) is
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Question # 21
The line through the intersection of the lines x+ 2y+ 3= 0 : 3x +4y +7 =0 and making equal intercepts on the axes is
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x+ y+ 1= 0
x+ y- 2= 0
x+ y+ 2= 0
2x +y +2 =0
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Question # 22
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y + 1 = Ae
x
y + 1 = Axe
x
xe
x
= C
y + xe
x
= C
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Question # 23
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Question # 24
The negation of given number is a
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Binary operation
Unary operation
Relation
None of these
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Question # 25
The equation of the chord of the circle x
2
+ y
2
- 4x = 0 whose mid-point is (1, 0) is
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y = 2
y = 1
x = 2
x = 1
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Question # 26
The angle between lines xy =0 is
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45°
60°
90°
180°
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Question # 27
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Question # 28
The smallest positive root of the equation tan x - x = 0 lies on
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Question # 29
The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is
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0.4cm
8.8πcm
17.6 πcm
35.2πcm
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Question # 30
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Question # 31
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0
1
-1
None
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