Question # 1

The directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

Cosh² x + Sinh² x =

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Cosh x²

Cosh 2x

Sinh 2x

Tanh 2x

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

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Parabola

Hyperbola

Ellipse

None of these

Equation of axis of the parabola x² = 4ay is:

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x = 0

x = a

y = 0

y = a

If equation of circle is (x - h)² + (y - k)² = r², then center of a circle:

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(-h, -k)

(h, k)

(-h, k)

(h, -k)

The inequality x < a is the open half plane to the __________ of the boundary line x = a:

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Above

Left

Below

Right

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x - axis

z - axis

y - axis

None of these

y - y1 = m ( x - x1) is the equation of straight line in:

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Slope-intercept from

Point-slope from

Normal form

Intercepts form

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[0]

[0, 0]

[0, 0, 0]

None of these

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

The function f(x) = 3x² has minimum value at :

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x = 3

x = 2

x = 1

x = 0

The directrix of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = - a

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

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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

An angle in a semi-circle is:

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0°

90°

180°

60°

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

The function y = ln x is a/an -------------- function of x.

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Constant

Explicit

Exponential

Logarithmic

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Which one is an identity function ?

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f(x) = g(x)

f (x) = x

f(x) = 1

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The opening of the parabola y² = -4ax is to the left of the:

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x-axis

x = 1

y-axis

x = 0

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