Question # 1

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e^2x sin x + c

e^2xcosx + c

-e^2xsin x + c

-e^2xcosx + c

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

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Linear inequalities

Equations

Linear equalities

None of these

If f(x) = cos x then f'(0) is equal to:

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0

-1

1

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

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30°

45°

60°

90°

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Parabola

Hyperbola

Ellipse

Circle

If a = 0, then the line ax + by + c = 0 is parallel to:

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y - axis

x - axis

along y - axis

None of these

The line l is horizontal if and only if slope is equal to:

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0

1

2

undefined

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

ax + by + c = 0 has matrix from as:

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|ax + by| = |-c|

[ax + by ] = [c]

[ax - by] = [-c]

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)

(1, 0) is the solution of inequality :

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7x + 2y < 8

x - 3y < 0

3x + 5y > 6

-3x + 5y > 2

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

The law of parallelogram of addition was used by Aristotle to describe the combined action of :

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One force

Two forces

Three forces

Four forces

The technique or method to find such a function whose derivative is given involves the inverse process of differentiation called:

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Differentiation

Integration

Differential

None of these

x = 3 cos t, y = 3 sin t represent

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Line

Circle

Parabola

Hyperbola

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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0

2

3

1

If the inclination of a line lies between ]90°, 180°[, then the slope of line is :

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Positive

Negative

Zero

undefined

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

The inequality x < a is the open half plane to the __________ of the boundary line x = a:

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Above

Left

Below

Right

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cot x

- cot x

cosec x cot x

-cosec x cot x

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