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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
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A is proper subset of B
A is an improper subset of B
A is equivalent to B
B is subset of A
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Question # 4
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Question # 5
If sided of𝜟ABC are 16,20,and 33, then the value of the greatests angle to
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150𝜊 20'
132𝜊 35'
101𝜊 25'
160𝜊 50'
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Question # 6
The vertex of the equation y
2
= 4ax is:
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(2, -2)
(1,1)
(0 , 0)
(2 , 2)
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Question # 7
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none of these
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Question # 8
A = B iff
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All elements of A also the elements of B
A and B should be singleton
A and B have the same number of elements
If both have the same element
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Question # 9
By expressing cos 113° in terms of trigonometrical ratios, answer will be
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− cos 76° = -0.7093
− cos 65° = -0.4258
− cos 67° = -0.3907
− cos 62° = -0.8520
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Question # 10
The eccentricity e of an ellipse is always
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Rational
Real
Irrational
Integer
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Question # 11
If z
1
=√-36 ,z
2
=√-25,z3 =√-16 then
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15
15i
-15i
-15
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Question # 12
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An upper triangular matrix
A lower triangular matrix
A diagonal matrix
A null matrix
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Question # 13
In the interval 0≤ x ≤ π, the sine is
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Not a function
Not defined
Infinity
Not one-to-one function
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Question # 14
The centre fo the circle x
2
+ y
2
+ 12x -10 = 0 is
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(12, -10)
(6, -5)
(-12, 10)
(-6, 5)
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Question # 15
A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45°. then which of the following statements is correct?
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Breadth of the river is twice the height of the tower
Breadth of the river an the height of the tower are the same
Breadth of the river is half of the height of the tower
None of these
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Question # 16
The unit vector along z-axis is
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none of these
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Question # 17
If sin (
π
cos
θ
) = cos (
π
sin
θ
), then which of the following is correct?
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Question # 18
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Question # 19
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1
0
5
2
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Question # 20
If f(x) = x
2
-x then f(0) is
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0
1
2
3
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Question # 21
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Question # 22
Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.
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Fractinal numbers
Rational Numbers
Even Numbers
Whole Numbers
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Question # 23
The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2
π
] is
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0
1
2
3
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Question # 24
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(-1, 2)
(-1, 1)
(1, 2)
{-1}
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Question # 25
A triangle which is not right angle is called ______ triangle
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acute
Obtuse
Right
Oblique
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Question # 26
The complement of set A relative to universal set U is the set
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{x / x∈ A∧ x∈ U}
{x / x∉ A∧ x ∈ U}
{x / x∈ A and x ∉ U}
A-U
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Question # 27
Which term of the A.P 5,8,11,24.............is 320
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104th
106th
105th
64th
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Question # 28
Intersection of two parabolas
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parabola
Two points
Four points
Hyperobla
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Question # 29
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Question # 30
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1.5
1.2
8
None of these
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Question # 31
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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