Question # 1

Two imaginary tangents can be drawn to a circle from any point P(x₁, y₁) _______ the circle:

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Inside

On

Outside

None of these

If the lien l is parallel to y-axis, then the slope of l is ----------------.

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0

1

-1

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A line segment whose end points lie on the circle is called a __________ of the circle.

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Radius

Chord

Diameter

None of these

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- cosec² x

cosec²x

- cosec x cot x

cosec x cot x

Which of the following is a vector quantity ?

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Work

Temperature

Distance

Displacement

tanh x =

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The graph of the parabola x² = -4ay lies in quadrants:

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I and II

III and IV

II and III

I and III

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Left or right

Upper or lower

Open

None of these

A function P(x) = 6x⁴ + 7x³ + 5x + 1 is called a polynomial function of degree -------- with leading coefficient -------.

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4, 6

2, 7

2, 3

2, 5

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-cosec x cotx

cosec² x

-cosec²x

cosec x cotx

The operation _______ by a positive constant to each side of inequality will affect the order (or sense) of inequality:

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Adding

Subtracting

Multiplying

None of these

A region, which is restricted to the ________ quadrant, is referred to as a feasible region for the set of given contraints.

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First

Third

Second

Fourth

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

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0

1

2

Undefined

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Even

Odd

One-one

Zero

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e^-x sin x + c

-e^-x sin x + c

e^-xcosx + c

-e^-xsin x + c

The opening of the parabola x²= 16y is to __________ of the x-axis:

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Left

Upward

Right

Downward

If the equation of the parabola x² = 4ay, then opening of the parabola is upward of the:

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x-axis

y-axis

Major axis

Minor axis

A line segment joining two distinct points on a parabola is called a ___________ of the parabola:

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Chord

Vertex

Focus

Directrix

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integration by parts

definite integral

Differentation

None of these

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4, -4

0

2, -2

0, 4

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