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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The physical quantity which possesses both magnitude and direction is called a
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scalar
vector
constant
none of these
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Question # 2
Geometrically the modulus of a complex number represents its distance from the
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Point (1,0)
Point (0,1)
Point (1,1)
Point (0,0)
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Question # 3
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 # 4
If tan
-1
3 + tan
-1
x = tan
-1
8, then x=
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5
1/5
5/14
14/5
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Question # 5
x = r2, y = 1 are the parametric equation of
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Circle
Hyperbola
Ellipse
Parabola
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Question # 6
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No solution
One real solution
More than one real solution
None of these
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Question # 7
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Question # 8
The series obtained by adding the terms of a geometric sequence is called
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Infinite series
Arithmetic series
Geometric series
Harmonic series
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Question # 9
The period of cosec 10x is _______
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Question # 10
The line y= 4x +c touches the hyperbola x2- y2 =1 if and only if
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c =±√2
c =0
c=±√17
c=±√15
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Question # 11
For a square matrix A, if A = A
t
, then A is called
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matrix
Transpose
Symmetric
Non-symmetric
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Question # 12
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Identity matrix
Diagonal matrix
Null matrix
Hermitian matrix
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Question # 13
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Question # 14
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1
2
3
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Question # 15
If f(x) = x
2
- x then f(2) is
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4
6
2
0
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Question # 16
45° = ______
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Question # 17
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 # 18
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a
2a
3a
4a
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Question # 19
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Question # 20
If (x
1
, y
1
) and (x
2
,
y
2
) are the end points of a diameter then the centre of the circle is
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Question # 21
Roots of the equation x
2
+ 5x - 1 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 22
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The law of sines
The law of consines
The law of tangents
None of these
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Question # 23
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Question # 24
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Question # 25
The total cost of 2 apples and 3 oranges is $1.70, which of the following is true
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The cost of one apple
The cost of one orange
Both have equal cost per item
Cost of each single item can not be determined
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Question # 26
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0
-2
1
4
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Question # 27
Which conjunction is not true ?
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Question # 28
Let S
n
denote the sum of the first n terms of an A.P. If S
2n
= 3 S
n
: S
n
is equal to
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4
6
8
10
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Question # 29
If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then
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k = 2
k = ±2
k = -2
k ≠0
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Question # 30
sec h x = ________
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Question # 31
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none of these
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