Question # 1

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Position vector of O

Position vector of P

Unit vector

Null vector

ax + b > c is an inequality of:

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One variable

Three variable

Two variable

Four variable

The horizontal line x' ox is called:

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x-axis

y-axis

abscissa

ordinate

Point p (-5, 6) lies ............ the circle x² + y² + 4x - 6y - 12 = 0

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Outside

Inside

On

None of these

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integration by parts

definite integral

Differentation

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

The small change in the value ofx, positive or negative is called the -------- of x.

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Increment

Differential

Derivative

none of these

If a straight line is perpendicular to y-axis, then its slope is:

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1

-1

0

undefined

A null vector is defined as a vector whose magnitude is:

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1

2

0

None of these

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- cosec² x

cosec²x

- cosec x cot x

cosec x cot x

The graph of the parabola y²= -4ax is symmetric about:

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x-axis

y = x

y-axis

None of these

The directrix of the parabola x² = -4ay is:

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x = a

x = -a

y = a

y = -a

Point (5, 6) lies ..... the circle x² + y² = 81:

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Outside

Inside

On

None of these

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28

29

If s is the distance traveled by a body at time t, the velocity is given by the expression:

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sinh x

cosh x

-sinh x

-cosh x

Equation of the line parallel to x + 3y - 9 = 0 is:

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3x - y - 9 = 0

3x + 9y + 7 = 0

2x - 6y - 18 = 0

x - 3y + 9 = 0

If the inclination of the line l lies between ]0°, 90°[, then the slope of l is:

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Positive

Negative

Undefined

None of these

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2

1

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

A line segment having both the end-points on a circle and not passing through the center is called a:

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A chord

A secant

A diameter

None of these

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