Question # 1

The axis of the parabola y² = 4ax is:

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x = 0

x = a

y = 0

y = a

The point (5, 8) lies the line 2x - 3y + 6 = 0

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Above

Below

On

None

Parametric equations x = a cos t, y = a sin t represent the equation of:

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Line

Circle

Parabola

Ellipse

tanh x =

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The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

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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x = a

x = 2

x = 0

None

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

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

Let f(x) = x², real valued function then domain of f is the set of all:

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Real numbers

Integers

Positive numbers

Natural numbers

For a square of side x units, the rate of change of area with respect to the side is given by:

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x

x²

2x

2

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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2

The point where the axis meets the parabola is called ________ of the parabola:

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Directrix

Vertex

Focus

Eccentricity

A chord containing the center of the circle is called ______ of the circle:

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Diameter

Chord

Radius

None of these

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e^-x sin x + c

-e^-x sin x + c

e^-xcosx + c

-e^-xsin x + c

If a = 0, then the line ax + by + c = 0 is parallel to:

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y - axis

x - axis

along y - axis

None of these

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Line parallel to x - axis

Line parallel to y - axis

Inclined

Both (a) and (b)

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2

1

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[0]

[0, 0]

[0, 0, 0]

None of these

The parabola y² = 4ax lies in quadrants:

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I and II

III and IV

II and III

I and IV

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