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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Biconditional
Implication
Antecedent
Hypothesis
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Question # 2
Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is
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k = 9
k = ±9
k=-9
k=11
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Question # 3
Range of cosec
θ
is
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W - {y | -1 < y < 1}
R - {y | -1 < y < 1}
O - {y | -1 < y < 1}
R
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Question # 4
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Question # 5
A quadratic equation in x is an equation that can be witten in the form
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ax
2
+ b = 0
ax
3
+b
2
+c=0
ax
2
+bx+c=0
ax
3
+bx
3
+cx=0
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Question # 6
x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?
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x - y = -6
x - y < -6
x - y > -6
None
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Question # 7
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Hermitian matrix
Skew-hermitian matrix
Symmetric matrix
Identity matrix
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Question # 8
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Question # 9
What is the number of elements of the power set of {0, 1}
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1
2
3
4
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Question # 10
The first three terms in the expansion of (1 + x)
3
are
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1 + 3x +6x
2
1- 3x + 6x
2
\
-3 -3x -6x
2
1- 3x -6x
2
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Question # 11
The value of k (k > 0) for which the equation x
2
+ kx + 64 = 0 and x
2
- 8x + k = 0 both will have real roots is
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8
-16
-64
16
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Question # 12
Period of sin x is
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Question # 13
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Question # 14
i
2
=
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1
2
-1
0
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Question # 15
If in the expansion of (1+x)
n
, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=
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4
5
6
7
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Question # 16
The position vector of the point P(a, b, c) is
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Question # 17
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Question # 18
Which of the following is a quadrantal angle
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30°
45°
60°
90°
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Question # 19
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Question # 20
If the circle x
2
+ y
2
+ 2gx +2fy + c = 0 passes through the origin then
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c = 0
c = -1
c = -2
c = 1
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Question # 21
Which of the following is factor of p(x) =2x3 +3x2+3x+2 ?
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x+1
2x+1
3x+1
2x-1
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Question # 22
The maximum value of sin
θ
cos
θ
is
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1
1/2
1/4
1/6
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Question # 23
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quadrant I
quadrant II
quadrant III
quadrant IV
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Question # 24
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A
A'
U
None of these
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Question # 25
The range of y=x2 + 1 is the set of non-negative real numbers except
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0≤ y < 1
0 < y < 1
0≤ y≤ 1
0 < y≤1
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Question # 26
The set {1, -1, i, -i}
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Form a group w.r.t addition
Form a group w.r.t multiplication
Does not form a group w.r.t multiplication
Not closed under multiplication
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Question # 27
Power set of difference set N-W is
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Empty set
Infinite set
Singleton set
{0,∅}
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Question # 28
If A = {x / x ∈ R ∧ x
2
- 16 = 0} then A =
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- x
Infinite set
Φ
{-4,4}
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Question # 29
The set {1,-1,i,-i}
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Form a group w.r.t addition
Form a group w.r.t multiplication
Does not form a group w.r.t multiplication
Not closed under multiplication
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Question # 30
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Question # 31
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