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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Choose an answer
Rational
Irrational
Non-real
Zero
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Question # 2
The length of perpendicular from (3,1) to 4x +3y +20 =0 is
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6
7
3
8
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Question # 3
If Z = (1,2), then Z
-1
=?
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(0.2, 0.4)
(-0.2 ,0.4)
(0.2,-0.4)
(-0.2,-0.4)
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Question # 4
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3 x 2
2 x 3
3 x 3
2 x 2
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Question # 5
(51)
4
is equal to
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7065201
8065201
6765201
6565201
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Question # 6
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 # 7
A point of a solution region where two of its boundary lines intersect, is called
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Boundary
Inequality
Half plane
Vertex
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Question # 8
The range of the function f : x→ y is defined by
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{x| y = f (x) ∀x∈ X ∧y∈y}
{(x,y) |y = f (x)∀x∈ X}
{y|y = f (x) ∀x∈ X ∧y∈y}
Y
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Question # 9
Period of sec x is ______
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Question # 10
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a = a
a < a
a > a
a
2
= a
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Question # 11
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-3 -2i
3 +2i
1 + 2i
1 - 2i
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Question # 12
If A = [a
ij
] is (m x n) matrix, then transpose of A is of the order
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m x m
m x n
n x n
n x m
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Question # 13
Area bounded between the curve xy=2 and the lines x=1 and x=2
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ln2 square units
ln√2 square units
ln4 square units
Square units
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Question # 14
For≥ -2 , 1+3+5+......+(2n+5)
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(n+2)
2
(n-2)
2
2n+1
(n+3)
2
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Question # 15
If (0, 0) and (1, 0) are the end points of a diameter, then the equation of the circle is
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Question # 16
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Question # 17
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Question # 18
In an A.P,a +(n-a)d is
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1st term
General term
Last term
None of these
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Question # 19
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 # 20
Matrices are represented by
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Natural numbers
Real numbers
Small letters
Capital letters
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Question # 21
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2
4
6
8
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Question # 22
The tangents drawn from the point P to a circle are real and distinct if
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P is on the circle
P is inside the circle
P is outside the circle
none of these
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Question # 23
If 2x +y + λ =0 is normal to parabola y2 =-8x,λ= _____
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12
8
24
-24
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Question # 24
Every natural number is
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A prime number
An irrational number
An integer
An even number
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Question # 25
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2
4
8
12
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Question # 26
The sum of first twenty odd integers in A.P is
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400
397
404
408
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Question # 27
If t is the parameter for one end of a focal chord of the parabola y
2
= 4ax, then its length is
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Question # 28
The sum of the cubes of three consecutive natural number is divisible by
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9
6
5
10
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Question # 29
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Question # 30
The first three terms in the expansion of (1 - x)
-2
are
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1 - 2x + 3x
2
1 - 2x - 3x
2
1 + 2x + 3x
2
-2 - 2x +3x
2
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Question # 31
Tan 3x tan 2x-tan x is equal to
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Tan x tan 2x tan 3x
-tan x tan 2x tan 3x
Tan x tan 2x - tan - tan x tan 3x - tan 2x tan 3x
None of these
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