Question # 1

f(x) is odd function. If and only if:

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f(-x) = -f(x)

f(-x) = f(x)

f(x) = 3f(-x)

f(x) = -3f(-x)

Two arcs of two different circles are congruent if:

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The circles are congruent

The corresponding central angles are congruent

Both a and b

None of the above

The graph of the parabola x² = -4ay is symmetric about:

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x-axis

major axis

y-axis

minor axis

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

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30°

45°

60°

90°

Equation of the line parallel to x + 3y - 9 = 0 is:

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3x - y - 9 = 0

3x + 9y + 7 = 0

2x - 6y - 18 = 0

x - 3y + 9 = 0

The non-negative inequalities are called:

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Parameters

Constants

Decision variables

Vertices

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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ln |sec x + tan x | + c

ln |cosec x - cot x | + c

ln |sec x - tan x | + c

ln |cosec x + cot x | + c

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0

The point (2, 5) lies the lie 3x - y + 1 = 0

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Above

Below

On

None

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60°

90°

30°

45°

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cot x

- cot x

cosec x cot x

-cosec x cot x

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

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x = a

x = -a

y = a

y = -a

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

An angle in a semi-circle is:

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0°

90°

180°

60°

If any two vectors of scalar triple product are equal, then its value is equal to:

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0

1

-1

2

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

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

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Trapezium

Rectangle

Rhombus

None of these

Which one is an exponential function ?

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If the graph of f is entirely above the x-axis, then the definite integral is _______:

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Positive

Positive or negative

Negative

Positive and negative

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

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