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ECAT Mathematics Online Test MCQs With Answers
Question # 1
A line joining two distinct points on a parabola is called
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Axis
Directrix
Chord
Tangent
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Question # 2
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direction ratios
direction cosines
direction angles
none of these
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Question # 3
If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is
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Question # 4
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1
-1
-1/2
1/2
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Question # 5
graph of sine function is bounded between lines
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y± 1 = 0
x± 1 = 0
x± y - 0
None of these
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Question # 6
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Question # 7
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0
1
-A
-1
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Question # 8
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sin h x
cos h x
tan h x
cot h x
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Question # 9
cos (180° -
θ
)=
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sin
θ
- cos
θ
- sin
θ
None of above
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Question # 10
The distance of the point (a, b) from x-axis is
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a
b
a + b
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Question # 11
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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Question # 12
The towers each 120 meters high are 800 meters apart. The measure of the angle of elevation from the base of one tower to the top of the other is
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12
𝜊
9
𝜊
7
𝜊
-120
𝜊
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Question # 13
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Question # 14
Three numbers are chosen random without replacement from {1, 2, 3, ...., 10}. the probability that minimum of the chosen numbering is 3 or their maximum is 7
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7 / 40
5 / 40
11 / 40
None of these
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Question # 15
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4(x
3
- 3x
2
)
3
+ c
3x
2
- 6x + c
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Question # 16
The feasible region which can be enclosed within a circle is called
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Bounded region
Convex region
Unbounded region
None
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Question # 17
If uv= Projuv then
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Uandvare parallel
vis a unit vector
Uis a unit vector
Both b and c
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Question # 18
If a = {2m/2m < 9 ,m€ p} , the (n A) =
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{2,3,4,5,6,7,8}
{2,4,6,8............16}
{ 4, 6}
{2,3,5,7}
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Question # 19
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Question # 20
In quadratic equation f(x) = ax
2
,if a >0, then the graph of parabola
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Opens up
Opens down
close up
symmetric w.r.t.x.axis
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Question # 21
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Question # 22
If for the matrix A, A
5
= I, then A
-1
=
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A
2
A
3
A
None of above
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Question # 23
If the sum of co-efficient in the expansion of (a+b)
n
is 4096, then the greatest co-efficient in the expansion is
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1594
792
924
2924
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Question # 24
If n∈Z+ then(a+x)n is a/an
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Finite series
Convergent series
Infinite series
Divergent series
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Question # 25
Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is
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1/12
1/6
5/12
7/12
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Question # 26
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Question # 27
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30°
45°
60°
120°
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Question # 28
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Question # 29
3x + 4
<
0 is
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not inequality
equation
identity
inequality
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Question # 30
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0
1
undefined
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Question # 31
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