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

A line segment joining two distinct points on a parabola is called a ___________ of the parabola:

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Chord

Vertex

Focus

Directrix

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a

2b

b

2a

If (2, 1) is the mid point of the line segment joining the points (2, x) & (2, -5) then x =

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1

2

7

-7

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1

0

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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Left or right

Upper or lower

Open

None of these

Angle between the lines x + y + 1 = 0 & x - y + 4 = 0 is:

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30°

45°

60°

90°

Let f(x) = cos x, then f(x) is an:

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Even function

Odd function

Power function

None of these

If the equation of the parabola is y2 = 4ax, then opening of the parabola is to the right of the:

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x-axis

y = x

y-axis

x + y =0

If 2 and 2 are x and y-components of a vector, then its angle with x-axis is:

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30°

45°

60°

90°

The cross product or vector product of two vectors is defined:

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Only in plane

Only in space

Both a and b

None of these

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A point of a solution region where two of its boundary lines intersects is called a __________ point of the solution region:

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Maximum

Corner

Minimum

None of these

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sin x

cos x

sinh x

cosh x

The ratio between the measure of the radial segment and the diameter of a circle is:

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2 : 1

4 : 3

1 : 2

A pair of lines of homogeneous second degree equation ax² + 2hxy + by² = 0 are othogonal, if:

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a - b = 0

a + b = 0

a + b > 0

a - b < 0

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Common logarithmic

Natural logarthmic

Exponential

None of these

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

If a circle and a line intersect in two points, then the line is called:

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A chord

A secant

A diameter

None of these

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