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Online Tests
Ics Part 2 Mathematics Test Online MCQs With Answers
Question # 1
If the radius of a circle is zero, then the circle is called a / an:
Choose an answer
Circle
Circular cone
Ellipse
Point circle
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Question # 2
The general solution of differential equation of order n contains n arbitrary constants, which can be determined by ------------ initial value conditions.
Choose an answer
1
0
2
n
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Question # 3
If the inclination of a line lies between ]90°, 180°[, then the slope of line is :
Choose an answer
Positive
Negative
Zero
undefined
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Question # 4
The technique or method to find such a function whose derivative is given involves the inverse process of differentiation called:
Choose an answer
Differentiation
Integration
Differential
None of these
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Question # 5
The condition for the line y = mx + c to be a tangent to the circle x
2
+ y
2
= a
2
is c = _____________:
Choose an answer
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Question # 6
The term function was introduced by:
Choose an answer
Euler
Newton
Lagrange
Leibniz
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Question # 7
Choose an answer
0
2
1
-1
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Question # 8
x = c is a vertical line parallel to __________.
Choose an answer
x-axis
y-axis may be
y-axis
None of these
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Question # 9
The point of a parabola which is closest to the focus in the:
Choose an answer
Directrix
Vertex
Focus
Chord
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Question # 10
Choose an answer
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Question # 11
A line through a point say P perpendicular to the tangent to the curve at P is called:
Choose an answer
Straight line
Tangent line
Normal line
None of these
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Question # 12
The focus of the parabola x
2
= 4ay:
Choose an answer
(0, a)
(-a , 0)
(0, -a)
(a, 0)
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Question # 13
If y = sin x then dy =
Choose an answer
cosy dx
cos x
cosx dx
cos xdy
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Question # 14
The number e denotes the _______ of the conic:
Choose an answer
Directrix
Vertex
Focus
Eccentricity
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Question # 15
The region of the graph ax + by > c is called ______ half plane:
Choose an answer
Open
Boundary of
Closed
None of these
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Question # 16
If r is the radius of the circle and its center is at origin, then equation of circle is:
Choose an answer
x
2
+ y
2
= a
2
x
2
+ y
2
= r
2
x
2
- y
2
= a
2
x
2
- y
2
= r
2
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Question # 17
Choose an answer
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Question # 18
The directrix of the parabola y
2
= 4ax is:
Choose an answer
x = a
x = -a
y = a
y = - a
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Question # 19
If r is the radius of any circle and C its center, then any point P(x
1
, y
1
) lies on the circle only if:
Choose an answer
|CP| < r
|CP| > r
|CP| = r
None of these
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Question # 20
If a circle and a line intersect in two points, then the line is called:
Choose an answer
A chord
A secant
A diameter
None of these
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Question # 21
Choose an answer
f(x
2
+ 1)
f(x)
f(x
2
)
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