Question # 1

Which one is an exponential function ?

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x = 2 is a vertical line perpendicular to _____________:

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x - axis

x - axis may be

y - axis

None of these

A circle is of radius 5 cm, the distance of a chord 8 cm long from its center is:

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4 cm

3cm

2.5cm

3.4cm

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

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Line

Circle

Parabola

Ellipse

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

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x² = 4ay

y²= 4ax

-x²= 4ay

-y²= 4ax

y = b is a horizontal line perpendicular to ________:

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x - axis

y - axis may be

y - axis

None of these

X-coordinate of any point on Y-axis:

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0

x

y

1

Which of the following is a vector quantity ?

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Work

Temperature

Distance

Displacement

The perpendicular distance of the line 3x + 4y + 10 = 0 from the origin is:

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0

1

2

3

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4

2

1

If y = f(u) and u = F(x), then:

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cosech x coth x

-cosech²x

-cosech x coth x

cosech²x

The opening of the parabola y² = 4ax is to the ________ of the:

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Left

Upward

Right

Downward

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(1, 1)

(1, 3)

(1, 4)

(1, 5)

The axis of the parabola y² = -4ax is:

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x = a

x = 0

y = a

y = 0

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0

1

The graph of the parabola y²= -4ax is symmetric about:

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x-axis

y = x

y-axis

None of these

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cosec x + c

-cosec x + c

cot x + c

- cot x + c

If a function f is from a set X to a set Y, then set X is called the _______ of f:

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Domain

Range

Co-domain

None of these

Cosh² x + Sinh² x =

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Cosh x²

Cosh 2x

Sinh 2x

Tanh 2x

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e^ax

f(x)

e^axf(x)

e^{ax + f(x)}

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