Question # 1

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

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x = a

x = -a

y = a

y = -a

Length of tangent from (0,1) to x² + y² + 6x - 3y + 3 = 0

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2

1

4

3

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x = a

x = 2

x = 0

None

The distance between the center of a circle and any point of the circle is called:

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Tangents

Secant

Diameter

Radius

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x - axis

z - axis

y - axis

None of these

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Even

Odd

One-one

Zero

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

(1, 0) is the solution of inequality :

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7x + 2y < 8

x - 3y < 0

3x + 5y > 6

-3x + 5y > 2

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Constant function

Absolute linear function

Linear function

Quadratic function

Point of intersection of x + y = 5 & x - y = 3 is:

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

The technique or method to find such a function whose derivative is given involves the inverse process of differentiation called:

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Differentiation

Integration

Differential

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

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equal to each other

not equal to each other

nearly equal to each other

None of these

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[0]

[0, 0]

[0, 0, 0]

None of these

x = 4 is a line:

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Parallel to x - axis

Parallel to y - axis

Perpendicular to y-axis

None of these

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60°

90°

30°

45°

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The point of intersection of the altitudes of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

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0

Distance of the point (-2, 3) from y-axis is:

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-2

2

3

1

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

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