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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
The tangents drawn from the point P to a circle are real and coincident if
Choose an answer
P is on the circle
P is inside the circle
P is outside the circle
none of these
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Question # 2
Area of the triangle whose vertices are (2,3),(0,1),(0,0) is
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6
2
4
1
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Question # 3
Equation of normal to the circle x2 + y2 =25 at (5cosθ,5sinθ)
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xcosθ+ysinθ =5
xcosθ -ysinθ =0
xsinθ -ycosθ =0
None of these
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Question # 4
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A,. B, C are coincident
A, B, C are collinear
Both A and B
None of these
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Question # 5
The number of x-intercepts of y= sin x in his period
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0
1
2
3
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Question # 6
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 # 7
The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0
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4
64
8
All values of k
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Question # 8
cos (
α
-
β
) = cos
α
cos
β
+ sin
α
sin
β
is true for all
Choose an answer
α
>
β
> 0
α
>
β
β
>
α
None of these
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Question # 9
∀a,b ε R, ab = be is a
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Commutative law of multiplication
Closure law of multiplication
Associative law of multiplication
Multiplicative identity
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Question # 10
Every set is an improper subset of
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Empty set
Equivalent set
Itself
Singleton set
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Question # 11
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Question # 12
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a sin(ax + b) + c
- a sin(ax + b) + c
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Question # 13
The third term of a G.P. is 4, The product of first five terms is
Choose an answer
43
45
46
None of these
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Question # 14
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x =0, y =4
x = -1, y = 2
x = 2, y = 3
x = 3, y = 4
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Question # 15
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3K
K2
K3
K
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Question # 16
If A = {x/x is a positive integer and 4≤x<23}, then A=
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{1,2,3,4,5,6,7}
{4,5,6...........22}
{1,2,3,.........23}
{1,2,3,4,5}
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Question # 17
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Question # 18
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Question # 19
To each element of a group there corresponds ______ inverse element
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Two
One
No
Three
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Question # 20
The no of term is the expansion of (a+x)n-1 is
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n+1
n-1
n
n-2
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Question # 21
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n(A)
n(B)
0
1
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Question # 22
The solution set of x < 4 is
Choose an answer
-
∞
< x < 4
-
∞
> x > 4
-
∞
< x < 2
-
∞
> x > 2
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Question # 23
A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP
2
+ CQ
2
+ CR
2
+ CS
2
=
Choose an answer
r
2
2 r
2
3 r
2
4 r
2
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Question # 24
The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in
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Question # 25
If the angle between two vectors with magnitude 2 and 15 is 30
°
then their scalar product is
Choose an answer
15
30
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Question # 26
The greatest term in the expansion of (3+2x)
9
, when x=1 is
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4th
4th and 5th
5th
6th
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Question # 27
The distance of point P(x,y) from focus in a parabola
y
2
=4ax, is:
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2a
a
x + a
x-a
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Question # 28
For an arithmetic series to be convergent it is necessary that the series has
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Finite terms
d<0
Infinite terms
None of these
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Question # 29
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Question # 30
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1
-1
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Question # 31
The multiplicative inverse of -1 in the set {1-, 1} is
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1
-1
+-1
0
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