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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The nth term of an A.P is (3n+5) Its 75th term is
Choose an answer
26
7
21
Cannot be determined
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Question # 2
Ifᵨ> 1 , then the conic, is:
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Ellipse
Parabola
Hyperbola
None of these
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Question # 3
The equation of a line parallel to the tangent to the circle x
2
+ y
2
= 16 at the point (2, 3) and passing thro' the origin is
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2x + 3y = 0
2x - 3y = 0
3x + 2y = 0
3x - 2y = 0
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Question # 4
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Question # 5
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Question # 6
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Question # 7
The standard form of the quadratic function f(x) = -x
2
+4x+2, is
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(x-2)
2
+6
-(x-2)
2
+ 6
(x-3)
2
+5
(x+4)
2
-7
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Question # 8
Every identity matrix is
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Row-vector
Scalar
Column-vector
All
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Question # 9
The point of concurrency of the medians of a triangle is called
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incentre
circumcentre
e-centre
centroid
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Question # 10
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Question # 11
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A parabola
An ellipse
A hyperbola
A circle
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Question # 12
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Question # 13
The mid point of the line joining the points P(x
1
, y
1
) and Q(x
2
, y
2
) is
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Question # 14
The root of the quadratic equation are
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3
2
1
4
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Question # 15
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Question # 16
Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =
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Question # 17
(-28,12) divides the join of A(-6,3) and B(5,-2) in ratio
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1:2
3:2
2:3
2:1
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Question # 18
Roots of the equation x
2
+ 5x - 1 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 19
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Reflexive property
Symmetric property
Transitive property
Additive property
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Question # 20
The equation ax
2
+ 2hxy + by
2
+2gx + 2fy + c =0 represents an ellipse if
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Question # 21
i
-(4n+2)
= -------------------------------
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1
i
-1
-i
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Question # 22
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Question # 23
Let A and B be two sets. If every element of A is also an element of B then
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Question # 24
A point of a solution regions where two of its boundary lines intersect, is called:
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Vertex of the solution
Feasible point
Point of inequality
Null point of the solution region
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Question # 25
If A and B are skew-symmetric then (AB)t is
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At Bt
AB
-AB
BA
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Question # 26
The√ is used for the
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Positive square root
Negative square root
+ve and -ve square root
Whole number
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Question # 27
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e
x
+ c
e
-x
+ c
x e
x
+ c
not possible
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Question # 28
The number of divisors of 1029, 1547 and 122 are in
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A.P.
G.P.
H.P.
None of these
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Question # 29
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Question # 30
If f (x) = 2x+1 then fof (x) = _______;
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4x+3
2x +3
4x +1
None of these
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Question # 31
The term independent of x is the expansion (x
3
+1/x)
12
Choose an answer
295
495
395
722
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