Question # 1

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

Notation Df(x) for derivative was used by:

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Cauchy

Newton

Leibniz

Lagrange

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 of the following is a vector quantity ?

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Work

Temperature

Distance

Displacement

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Integration

Integrand

Constant of integration

None of these

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0

-1

1

2

If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a / an:

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Parabola

Circular cone

Ellipse

Circle

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

A scalar quantity is one that possesses only :

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Magnitude

Direction

Both a and b

None of these

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Unit Vector

Null vector

Position vector

None of these

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0

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Left or right

Upper or lower

Open

None of these

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Derivative

Differential

Integral

None of these

The focus of the parabola y²=4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

The directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

The ratio in which the line segments joining (2, 3) and (4, 1) is divided by the line joining (1, 3) and (4, 3) is:

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2 : 1

3 : 1

1 : 2

1 : 1

The general solution of differential equation of order n contains n arbitrary constants, which can be determined by ------------ initial value conditions.

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1

0

2

n

Which are the following triples can be direction angles of a single vector:

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45°,45°,60°

30°,45°,60°

45°,60°,60°

30°,30°,30°

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0

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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