Question # 1

A pair of lines of homogeneous second degree equation ax² + 2hxy + by² = 0 are othogonal, if:

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a - b = 0

a + b = 0

a + b > 0

a - b < 0

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

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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Position vector

Null vector

Unit vector

None of these

The coordinate axes divide the plane into------------ equal parts:

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1

2

3

4

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2

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

A parallelogram is a rhombus if and only if its diagonals are:

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Parallel

Perpendicular

Equal

None of these

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One variable

Three variable

Two variable

Four variable

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

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x-axis

major axis

y-axis

minor axis

The graph of linear equation of the form ax + by = c is a _________ where a, b and c are constants and a, b are not both zero.

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Curve

Circle

Straight line

Parabola

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

The equ. of directrix of the parabola y² = -4ax is:

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x = a

x = - a

y = a

y = -a

x = 2 is a vertical line perpendicular to _____________:

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x - axis

x - axis may be

y - axis

None of these

In the translation of axes which formula is true:

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x = X + h

X = x + h

x + X = h

None

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

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(a, 0)

(0, 0)

(0, -a)

(0, a)

The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

Which one is an identity function ?

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f(x) = g(x)

f (x) = x

f(x) = 1

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

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0

1

2

3

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

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