Question # 1

If a point lies inside a circle, then its distance from the center is:

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Equal to the radius

Less then the radius

Greater then the radius

Equal to or greater than the

If f(x) = cos x then f'(0) is equal to:

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0

-1

1

The graph of the parabola y² = -4ax lies in quadrants:

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I and II

III and IV

II and III

I and III

The Maclaurin series expansion is valid only if it is:

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Convergent

Divergent

Increasing

Decreasing

x = 4 is a line:

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Parallel to x - axis

Parallel to y - axis

Perpendicular to y-axis

None of these

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1

2

3

0

The feasible region is ________ if it can easily by enclosed within a circle.

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Bounded

Exist

Unbounded

None of these

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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Above

Left

Below

Right

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

Two vectors are equal if they:

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Pass through the same point

Are parallel to each other

Are parallel to each other and have same direction

Have equal magnitude and have same direction

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sec x tan x

sec²x

-sec x tan x

-sec²x

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0

2

3

1

A function, which is to be maximized or minimized is called an ________:

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Maximum function

Objective funciton

Minimum function

None of these

x = 2 is a vertical line perpendicular to _____________:

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x - axis

x - axis may be

y - axis

None of these

The distance between two points P₁ (x₁, y₁) and P₂ (x₂, y₂) on the co-ordinate plane is given by:

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Unit vector

Null vector

Free vector

None of these

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 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

If the equation of the parabola is x² = 4ay, then opening of the parabola is to _______ of the x-axis:

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Left

Upward

Right

Downward

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ICS Part 2 Mathematics Full Book Test Online MCQs With Answers

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