Question # 1

Let f(x) = x² + 3, then domain of f is:

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Set of all integers

Set of natural numbers

Set of real numbers

Set of rational numbers

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0

-1

1

2

If f(x) = cos x then f'(0) is equal to:

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0

-1

1

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)

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 quadrilateral having two parallels and two non-parallel sides is called:

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Trapezium

Rectangle

Rhombus

None of these

f (x) = x secx, then f(0)=

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-1

0

1

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Integration by parts

Definite integral

Differentiation

None of these

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2cosh x

2sinh x

2sinh (2x)

-2sinh (2x)

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Two imaginary tangents can be drawn to a circle from any point P(x₁, y₁) _______ the circle:

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Inside

On

Outside

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

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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2 - 7

2 + 7

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

x = a is a vertical line perpendicular to __________.

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x - axis

x - axis may be

y - axis

None of these

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

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Tangents

Secant

Diameter

Radius

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

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

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Unit vector

Null vector

Free vector

None of these

Area between x-axis and the curve:

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32

16

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