Question # 1

An angle in a semi-circle is:

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0°

90°

180°

60°

The graph of 2x + y < 2 is the open half plane which is ________ the origin side of 2x + y = 2:

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At

Not an

On

None of these

If the equation of the parabola is x² = 4ay, then opening of the parabola is to _______ of the x-axis:

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Left

Upward

Right

Downward

Which one is not an exponential function ?

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If the directed distances AP and PB have the opposite signs, i.e; p is beyond AB, then their ratio is negative and P is said to divide AB:

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Internally

May divide

Externally

None of these

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

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a > 0

a < 0

a = 0

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0

The directrix of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = - a

Which one is a constant function ?

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f(x) = x²

f(x) = x

f(x) = x + 1

f(x) = 14

y - ordinate of the centroid of triangle with vertices A(-2, 3) B(-4, 1), C(3, 2) is:

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3

1

2

0

A line segment having both the end-points on a circle and not passing through the center is called a:

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A chord

A secant

A diameter

None of these

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

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x² = 4ay

-x²= 4ay

-y²= 4ax

y²= 4ax

The equation to the straight line which passes through the point (2, 9) and makes an angle of 45° with x-axis is:

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x + y + 7 = 0

x - y + 7 = 0

y - x + 7 = 0

None of these

If the line segment obtained by joining any two points of a region lies entirely within the region, then the region is called _________:

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Maximum

Vertex

Minimum

Convex

Inverse hyperbolic functions are expressed in terms of natural:

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Numbers

Exponential

Logarithms

Sines

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x = a

x = 2

x = 0

None

The term dy (or df) = f '(x) dx is called the __________ of the dependent variable y.

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Differentiation

Integration

Differential

None of these

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)

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0

1

-1

2

A line through a point say P perpendicular to the tangent to the curve at P is called:

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Straight line

Tangent line

Normal line

None of these

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One variable

Three variable

Two variable

Four variable

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