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ECAT Mathematics Online Test MCQs With Answers
Question # 1
If z = (x,y) , then z ̅ =
Choose an answer
(-x,y)
(x,-y)
(-x, -y)
None of these
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Question # 2
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20
10
0
None of these
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Question # 3
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Question # 4
The transpose of a zero matrix is a ______
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Column matrix
Zero matrix
Row matrix
Scalar matrix
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Question # 5
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Question # 6
The seventh term of an A.P whose first term is P and common difference is q. is
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P-6q
P+6q
P-4q
P-nq
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Question # 7
The velocity and acceleration at any point t of a particle which moves along straight line x = 5r-3
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5,3
5,-3
5,0
10,0
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Question # 8
If the angle between two vectors with magnitude 2 and 15 is 30
°
then their scalar product is
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15
30
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Question # 9
If f(x) = (-x)
2
then f(-2) is
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0
2
-4
4
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Question # 10
f(x) = 3x
4
-2x
2
+ 7 is:
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 11
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2 and 9
3 and 2
2/3 and 9
3/2 and 6
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Question # 12
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3
1
4
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Question # 13
Zero is
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An irrational number
A rational number
A negative integer
A positive number
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Question # 14
The product of complex numbers (a,b) and (c,d) is
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(ac, bd)
(ac-bd, ad+bc)
(ab,cd)
(ac+bd,ad-bc)
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Question # 15
the latus rectum of the parabola x
3
= -4ay is:
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x = a
y = -a
x = -a
y = 0
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Question # 16
The equation of the chord of the circle x
2
+ y
2
- 4x = 0 whose mid-point is (1, 0) is
Choose an answer
y = 2
y = 1
x = 2
x = 1
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Question # 17
If l, m, n are the d.c.'s of a line, then
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l2+ m2+ n2= 0
l2+ m2+ n2= 1
l + m + n = 1
l = m = n = 1
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Question # 18
If (0,4) and (0,2) are vertex and focus of the parabola respectively, the the equation of the parabola is:
Choose an answer
x
2
= 4y -32
x
2
=8y -32
y
3
= 16 x
x2 + 8y =32
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Question # 19
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sin h x
cos h x
sec h x
cosec h x
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Question # 20
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0
1
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Question # 21
E-radius corresponding to < B is
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Question # 22
The slope of x-axis is
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0
undefined
1
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Question # 23
The number of words that can be formed out of the letters of the word ASSASSINATION is
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Question # 24
Range of sin
θ
is
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Question # 25
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Question # 26
In a triangle if a > 45°,β > 30° then y cannot be
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90°
100°
10°
120°
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Question # 27
If A = {x/x is a positive integer and 4≤x<23}, then A=
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{1,2,3,4,5,6,7}
{4,5,6...........22}
{1,2,3,.........23}
{1,2,3,4,5}
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Question # 28
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 29
If distance between (3,b) and (0,0) is 3 then b = _______
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3
9
0
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Question # 30
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4A - 3I
3A - 4I
A - I
None of these
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Question # 31
The eccentricity of the conic 9x
2
- 16y
2
= 144 is
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4/5
5/4
4/3
3/4
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