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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The order axioms are satisfied by set of
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C
C and R
R
None of these
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Question # 2
w
4
= ______
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0
1
w
w
2
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Question # 3
If z
1
= 1 + 2i, z
2
= 3 + 4i then
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z
1
> z
2
z
1
= z
2
z
1
< z
2
None of these
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Question # 4
The point of concurrency of the medians of the ΔABC is called its
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Orthocenter
Centriod
Circumcentre
Incentre
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Question # 5
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0
abc
1/abc
None of these
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Question # 6
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sin h x
cos h x
tan h x
cot h x
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Question # 7
f(x) = ax + b will be an identity function if
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a = 1 , b = 1
a = 1 , b = 0
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Question # 8
The set {x +iy / x, y ∈ Q} forms a group under the binary operation of
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Addition
Multiplication
Division
Both addition and multiplication
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Question # 9
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Question # 10
If f(x) = (-x)
2
then f(-2) is
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0
2
-4
4
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Question # 11
if a
9 =19,a9=31 are the 6th and 9th term of an A.P. and d=4 is the common difference, then 18th term of the sequence is
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65
67
71
75
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Question # 12
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Question # 13
The value of the expression 3 cosθ+ 4 sinθθlie between
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-7 and 7
-25 and 25
-1 and 1
-5 and 5
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Question # 14
The identity elements with respect to subtraction is
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0
1
-1
Does not exist
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Question # 15
An unbiased die is thrown. Then the probability of getting a prime is
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1/2
2/3
3/4
None of these
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Question # 16
(ABC)' =
Choose an answer
CBA'
CBA
C' B' A'
None of these
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Question # 17
The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 internally
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Question # 18
Range of cos
θ
is
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Question # 19
The line y = 4x + c touches the hyperbola x
2
- y
2
= 1 if
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Question # 20
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Question # 21
If x = 1/x for x ∈ R then the value of x is
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±1
0
2
4
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Question # 22
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Question # 23
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Question # 24
A function of the form p(x)/Q(x) is called:
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Rational function
Logarithmic function
Exponential function
Hyperbolic function
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Question # 25
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none of these
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Question # 26
If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then
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p = -14
p = -1
p =0
p=12
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Question # 27
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Question # 28
The axis of the parabola y
2
= 4ax is
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X = 0
Y = 0
X = y
X = -y
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Question # 29
Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is
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3! P(n, r - 3)
P(n, 3) P(n, r - 3)
P(r, r)P(n, r - 3)
P(n - 3, r)
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Question # 30
cos
4
θ
- sin
4
θ
=
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cos4
θ
cos2
θ
-sin
θ
sin2
θ
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Question # 31
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