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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
The matrix A = [aij]mxn with m ≠n is always
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Symmetric
Hermition
Skew-symmetric
None
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Question # 4
cos2a=______;
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cos2 a-sin2 a
2cos2 a-1
1-2 sin2 a
All of these
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Question # 5
The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are
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Question # 6
I f the focus is F ( 0,-a) and directrix is the line v=a, then equation of the parabola is:
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x
2
= 4ay
y
2
= 4ax
y
2
= -4ax
x
2
= 4ax
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Question # 7
If the domain of the function f: x⟶ 2x
3
+ 1 is {-1,2,3}, the range of the function is
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{3,2,5}
{1,3,9}
{-1,-2,-3}
{3,9,19}
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Question # 8
120° degrees are equal to how many radians?
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Question # 9
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sin h x
cos h x
tan h x
cot h x
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Question # 10
A committee consists of 9 experts taken from three institutions A, B, and C, of which 2 are from, A, 3 form B and 4 from C. If three experts resign, then the probability that they belong to different institutions is
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1 / 729
1 / 24
1 / 21
2 / 7
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Question # 11
If a, b, c are the measures of the sides of a triangle then
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Question # 12
A right angle is the angle of measure
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90'
60°
60"
90°
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Question # 13
The multiplicative inverse of (a,b) is
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Question # 14
H
1
, H
2
, H
3
, .... H
n
are called n harmonic means between a and b if a, H
1
, H
2
, H
3
, ... H
n
b are in
Choose an answer
H.P.
G.P.
A.P.
None of these
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Question # 15
The function f(x) =|x| is a/an_______function
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Even
Odd
Both even as well as odd
Neither even nor odd
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Question # 16
A rule that assigns to each elements x in X a unique element y in Y is called a ____________
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domain
range
function
none of these
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Question # 17
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square root function
identity function
linear function
quadratic function
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Question # 18
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Question # 19
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0
1
-1
None of these
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Question # 20
π
is the period of the function
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|sin x| + |sin x|
sin
4
x + cos x
sin (sin x) + sin (cos x)
None of these
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Question # 21
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Question # 22
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Question # 23
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Question # 24
Group of none-singular matrices under multiplication is
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None-Abelian group
Semi group
Abelian group
None of these
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Question # 25
If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is
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0
2
1
5
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Question # 26
The magnitude of a vector can never be
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Zero
Negative
Positive
None of these
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Question # 27
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real number
complex number
rational number
irrational number
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Question # 28
The equation of the circle with centre (h, k) and radius r is
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(x+ h)
2
+ (y+ k)
2
= r
2
(x+ h)
2
+ (y - k)
2
= r
2
(x - h)
2
+ (y+ k)
2
= r
2
(x - h)
2
+ (y - k)
2
= r
2
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Question # 29
Both the roots of the equation (x -b) (x - c ) + (x -c) (x-a) +(x-a) (x-b) = 0 are always
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Positive
Negative
Real
None of these
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Question # 30
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1, 1/2, 0
1, 2, 1
1, 2, 3
1, 2, 0
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Question # 31
(a+bi) - (c+di)=
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(a+b) = (c+d)
(a+c) + i(b+d)
(a - c) + (c- d)i
(a - c)+ (b - d)i
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