Question # 1

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Unit vector

Null vector

Free vector

None of these

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0

The range of the function f(x) = |x|

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Length of tangent from (a, 0) to the circle x² + y² + 2gx + 2fy + c = 0 is:

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c

2g + 2f -c

None

The equation x² + y² + 2x + 3y = 10 represents a:

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A pair of lines

Circle

Ellipse

Hyperbola

If the directed distances AP and PB have same signs, then their ratio is positive and P is said to divide AB:

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Internally

May be divide

Externally

None of these

A chord containing the center of the circle is called ______ of the circle:

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Diameter

Chord

Radius

None of these

Which one is an exponential function ?

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f (x) = x secx, then f(0)=

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-1

0

1

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ln |sin x|

- ln |sin x|

ln |cos x|

-ln |cos x|

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Distance of the point (-2, 3) from y-axis is:

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-2

2

3

1

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

Two non parallel lines intersect each other at:

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1 point

2 points

3 points

4 points

Let f(x) = x², real valued function then domain of f is the set of all:

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Real numbers

Integers

Positive numbers

Natural numbers

cosh^-1x =

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The equation to the straight line which passes through the point (2, 9) and makes an angle of 45° with x-axis is:

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x + y + 7 = 0

x - y + 7 = 0

y - x + 7 = 0

None of these

If (1, x) is the mid point of the line segment joining the points (1, 2) & (1, 6) then x =

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1

2

3

4

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies on the circle only if:

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|CP| < r

|CP| > r

|CP| = r

None of these

Which of the following is a vector quantity ?

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Work

Temperature

Distance

Displacement

The axis of the parabola y² = 4ax is:

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x = 0

x = a

y = 0

y = a

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ICS Part 2 Mathematics Full Book Test Online MCQs With Answers

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