Question # 1

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 focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

A function, in which the variables are __________ numbers, then function is called a real valued function of real numbers.

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Complex

Rational

Real

None of these

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

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1

-1

0

undefined

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90°

30°

60°

0°

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Scalar quantity

Reciprocal vector

Joint equation of y + 2x = 0, y - 3x = 0 is:

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(y+2x)(y-3x) = 0

(y-2x)(y-3x) = 0

(y+2x)(y+3x) = 0

(y-2x)(y+3x) = 0

A solution of a linear inequality in x and y is an ordered pair of numbers, which _______ the inequality.

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Does not satisfy

May be stisfied

Satisfies

None of these

If the focus lies on the x-axis with coordinates F(a, 0) and directrix of the parabola is = - a then the equation of parabola is:

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x² = 4ay

y²= 4ax

-x²= 4ay

-y²= 4ax

ax + by < c is an inequality of:

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One variable

Threevariable

Twovariable

Fourvariable

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sinh x

cosh x

-sinh x

-cosh x

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1

2

3

0

The general solution of differential equation of order n contains n arbitrary constants, which can be determined by ------------ initial value conditions.

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1

0

2

n

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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Scalar

Free vector

Unit vector

Null vector

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Even

Odd

One-one

Zero

The fixed point of the conic is called:

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Directrix

Vertex

Focus

None of these

The derivative of x with respect to y is given by:

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The line x = a is on the right of y - axis if:

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a > 0

a < 0

a = 0

If the lower limit is a constant and the upper limit is a variable, then the integral is a function of:

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x

y

lower limit

upper limit

General form of equation of line is:

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ax - by + c = 0

ax + by - c = 0

ax + by + c = 0

ax - by - c = 0

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