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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Every term of a G.P. is positive and also every term is the sum of two preceding terms. Then the common ratio of the G.P. is
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Question # 2
A circle which touches one side of a triangle externally and the other two sides produced is called ______
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In-circle
Circum cirle
Escribed circle
None of these
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Question # 3
5th term of a G.P. is 2, then the product of first 9 terms is
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256
128
512
None of these
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Question # 4
The identity elements with respect to subtraction is
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0
1
-1
Does not exist
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Question # 5
A square matrix A = [aij] is upper triangular when
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cij = 0
bij = 0
aij = 0 for all i > j
dij = 0
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Question # 6
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Question # 7
The multiplicative inverse ofx^(-1) is
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x
a-2
0
1
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Question # 8
If A(x
1
, y
1
) , B(x
2
, y
2
) and C(x
3
, y
3
) are the vertices of a triangle then its centroid is
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Question # 9
What is the conjugate of -6 -i
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-6 +i
6 + i
-6 -i
6 -i
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Question # 10
If a parabola opens down, then its vertex is at the
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Right of the parabola
Left of parabola
Lowest point on the parabola
Highest point on the parabola
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Question # 11
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Question # 12
The identity element with respect to subtraction is
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0
1
-1
Does not exist
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Question # 13
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5
15
10
20
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Question # 14
The set {-1, 1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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Question # 15
If distance between (3,b) and (0,0) is 3 then b = _______
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3
9
0
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Question # 16
If origin is the mid point of (a,3) and (5,b) then
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a = -5 , b = -3
a = 5 , b =3
a = -5 , b = 3
a = 5 , b = -3
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Question # 17
Geometrically, the modulus of a complex number represents its distance from the
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Point (1, 0)
Point (0, 1)
Point (1, 1)
Point (0, 0)
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Question # 18
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Improper rational fraction
Proper rational fraction
Polynomial
Equation
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Question # 19
x =r cosθ,y= sinθ are the parametric equations of
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Circle
Ellipse
Parabola
Hyoerbola
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Question # 20
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A variable
A constant
0
None of these
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Question # 21
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A
2
- 5A + 7I = 1
2A
2
- 3A + 7I = 0
A
2
- 5A + I = 0
A
2
- 5A + 7I = 0
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Question # 22
For a positive integer n
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n! = n(n + 1)
n! = n(n+1)!
n! = n(n - 1 )
n! = n(n - 1)!
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Question # 23
Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is
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2
3
4
1
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Question # 24
a + x is ______
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A trinomial
A binomial
A monomial
None of these
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Question # 25
If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a
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parabola
circle
hyperbola
ellipse
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Question # 26
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3x
2
+ 2
3x
2
+ 2x + 3
x
3
+ x
2
none of these
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Question # 27
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Question # 28
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n!
0!
1
None of these
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Question # 29
The harmonic mean between a and b is
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Question # 30
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images
pre-images
constants
none of these
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Question # 31
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A natural number
A rational number
An irrational number
A whole number
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