Question # 1

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integration by parts

definite integral

Differentation

None of these

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0

1

e

Does not exist

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Ellipse

Parabola

Hyperbola

Circle

A line through a point say P perpendicular to the tangent to the curve at P is called:

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Straight line

Tangent line

Normal line

None of these

ax + by < c is an inequality of:

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One variable

Threevariable

Twovariable

Fourvariable

x = a is a vertical line perpendicular to __________.

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x - axis

x - axis may be

y - axis

None of these

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

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

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|CP| < r

|CP| = r

|CP| > r

None of these

The equi. of latus-rectum of the parabola y² = -4ax is:

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x = a

x = -a

y = a

y = -a

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e^ax

f(x)

e^axf(x)

e^{ax + f(x)}

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Free vector

Unit vector

Null vector

None of these

In equation of circle, coefficient of each of x² and y² are:

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Not equal

Opposite in signs

Equal

None of these

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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 vertical line y'oy is called:

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x-axis

y-axis

abscissa

Ordinate

The center of circle x² + y² + 2gx + 2fy + c = 0 is:

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

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

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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

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0

-1

1

2

The point (2, 5) lies the lie 3x - y + 1 = 0

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Above

Below

On

None

A scalar quantity is one that possesses only :

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Magnitude

Direction

Both a and b

None of these

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