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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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15
15 i
-15 i
-15
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Question # 3
If x,y are two positive distinct numbers then
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A>G>H
A<G<H
A=G=H
None of these
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Question # 4
InΔABC if y = 90° then the Pythagoras theorem is
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b2 + c2 =a2
a2 + b2 = c2
a2 +c2 = b2
None of these
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Question # 5
E-radius corresponding to < C is
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Question # 6
The number of non zero rows in echelon form of a matrix is called
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Order of matrix
Rank of matrix
Row operation
None of these
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Question # 7
Fundamental law is
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Question # 8
In R, the additive identity is
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0
1
-1
None
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Question # 9
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Question # 10
The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is
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none of these
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Question # 11
Which is a proper rational fraction
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Question # 12
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Question # 13
The equation (cos p - 1)x
2
+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval
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(0, 2
π
)
(-
π
, -0)
(0,
π
)
None of these
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Question # 14
The line through the focus and perpendicular to the directrix is called ______ of the parabola
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axis
focal chord
tangent
latus rectum
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Question # 15
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Question # 16
If |a x b|2 + (a,b)2 = _____
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|a|2 + |b|2
|a|2- |b|2
|a|2|b|2
None
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Question # 17
The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C
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1,2
-1,-2
2,-1
-2,1
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Question # 18
A kite flying at a height of 67.2 m is attached to a fully stretched string inclined at an angle of 53 to the horizontal, the length of the string
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62m
82m
73m
57m
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Question # 19
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Question # 20
The decimal fraction in which we have finite number of digits in its decimal part is called.
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recurring decimal fraction
Non terminating faction
Non recurring fraction
terminating decimal fraction
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Question # 21
The distance between two points P(x
1
, y
1
) and Q (x
2
, y
2
) is
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Question # 22
Which of the following integrals can be evaluated
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Question # 23
A point where two of its boundary lines intersect is called
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Corner point
Feasible point
Vertex
Feasible solution
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Question # 24
π is the ration of
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Area of a circle to its diameter
Area of a circle to its radius
Circumference of a circle to its diameter
Circumference of circle to its radius
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Question # 25
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Question # 26
If the line 2x -y +k =0 is a diameter of the circle x2 +y2 +6x -6y +5 =0 then k is equal to
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12
9
6
3
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Question # 27
The equation of the normal to the circle x
2
+ y
2
= 25 at (4, 3) is
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3x - 4y =0
3x - 4y =5
4x + 3y = 5
4x + 3y = 25
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Question # 28
The lines l1and l2intersect. The shortest distance between them is
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Positive
Negative
Zero
Infinity
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Question # 29
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Closure law of addition
Associative law of addition
Commutative law of multiplication
Associative law of multiplication
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Question # 30
The set {Z\ {0} } is group w.r.t
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Addition
Multiplication
Division
Subtraction
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Question # 31
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l
2
+ m
2
+ n
2
= 0
l
2
- m
2
+ n
2
= 1
l
2
+ m
2
+ n
2
= 1
l
2
+ m
2
- n
2
= 0
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