Question # 1

Joint equation of y + 2x = 0, y - 3x = 0 is:

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(y+2x)(y-3x) = 0

(y-2x)(y-3x) = 0

(y+2x)(y+3x) = 0

(y-2x)(y+3x) = 0

The distance between the points (1, 2), (2, 1).

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1

2

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At

Not on

On

None of these

A null vector is defined as a vector whose magnitude is:

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1

2

0

None of these

A scalar quantity is one that possesses only :

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Magnitude

Direction

Both a and b

None of these

If y = x² + 1 _______________ x changes from 3 to 3.02 then dy = __________

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0.1204

.12

.02

1.2

The system of _________ involved in the problem concerned is called problem constraints:

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Linear inequalities

Equations

Linear equalities

None of these

A chord containing the center of the circle is called ______ of the circle:

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Diameter

Chord

Radius

None of these

The instantaneous rate of change of y with respect to x is given by:

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The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

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Euler

Cauchy

Leibniz

Newton

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x - axis

z - axis

y - axis

None of these

The center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

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e^-x sin x + c

-e^-x sin x + c

e^-xcosx + c

-e^-xsin x + c

The point of a parabola which is closest to the focus in the:

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Directrix

Vertex

Focus

Chord

The ratio in which x-axis divides the line segment joining the points:

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1 : 1

1 : 3

1 : 5

1 : 2

Area between x-axis and the curve:

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32

16

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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Left or right

Upper or lower

Open

None of these

Point of intersection of lines x - 2y + 1 = 0 and 2x - y + 2 = 0 equals:

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(1, 0)

(0, 1)

(-1, 0)

(0, -1)

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ln |sin x|

- ln |sin x|

ln |cos x|

-ln |cos x|

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

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