Question # 1

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sin x

-cos x

-sin x

cos x

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(1, 1)

(1, 3)

(1, 4)

(1, 5)

A line which divides a plane into two parts is called:

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Boundary point

Boundary line

Feasible line

None

A function, in which the variables are __________ numbers, then function is called a real valued function of real numbers.

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Complex

Rational

Real

None of these

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60°

90°

30°

45°

The curves obtained by cutting a __________ double right circular cone by a _______ are called conics:

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Straight line

Plane

Curve

None of these

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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

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

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tan x

cot x

- tan x

- cot x

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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2 : 3

2 : 5

1 : 2

3 : 5

The graph of linear equation of the form ax + by = c is a line, which divides the plane into ______ disjoint regions, where a, b and c are constants and a, b are not both zero.

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One

Two

Thre

None of these

The opening of the parabola x²= 16y is to __________ of the x-axis:

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Left

Upward

Right

Downward

cosh^-1x =

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If a point lies inside a circle, then its distance from the center is:

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Equal to the radius

Less then the radius

Greater then the radius

Equal to or greater than the

Distance of the point (-2, 3) from y-axis is:

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-2

2

3

1

y = mx + c is the equation of straight line in:

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Slope-intercept form

Two points from

Point slope form

Intercepts form

The order (or sense) of an inequality is changed by ________, it each side by a negative constant.

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Adding

Subtracting

Dividing

None of these

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

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Positive

Positive or negative

Negative

Positive and negative

Let f(x) = x³ + sin x, then f(x) is:

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Even function

Odd function

Power function

None of these

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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- cosec² x

cosec²x

- cosec x cot x

cosec x cot x

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