Question # 1

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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

If the inclination of the line l lies between ]0°, 90°[, then the slope of l is:

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Positive

Negative

Undefined

None of these

A line segment having both the end-points on a circle and not passing through the center is called a:

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A chord

A secant

A diameter

None of these

Which one is a constant function ?

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f(x) = x²

f(x) = x

f(x) = x + 1

f(x) = 14

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integration by parts

definite integral

Differentation

None of these

(1, 0) is the solution of inequality :

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7x + 2y < 8

x - 3y < 0

3x + 5y > 6

-3x + 5y > 2

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

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sinh x

cosh x

-sinh x

-cosh x

f(x) is odd function. If and only if:

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f(-x) = -f(x)

f(-x) = f(x)

f(x) = 3f(-x)

f(x) = -3f(-x)

If 2 and 2 are x and y-components of a vector, then its angle with x-axis is:

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30°

45°

60°

90°

The inequality y > b is the open half plane to the ______ of the boundary line y = b:

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Above

Left

Below

Right

The equ. of directrix of the parabola y² = -4ax is:

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x = a

x = - a

y = a

y = -a

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5 sin x

cosh (5x)

5 cosh (5x)

-5 cosh (5x)

If the radius of a circle is zero, then the circle is called a / an:

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Circle

Circular cone

Ellipse

Point circle

The feasible solution, which maximizes or minimizes the objective function, is called the _________:

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Maximum solution

Optimal solution

Minimum solutions

None of these

-4 < y < 4 is the solution of the following:

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y = 5

y = 3

y = -4

y = 4

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e^2x sin x + c

e^2xcosx + c

-e^2xsin x + c

-e^2xcosx + c

If a straight line is perpendicular to x-axis, then its slope is:

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0

1

2

Undefined

If r is the radius of the circle and its center is at origin, then equation of circle is:

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x² + y² = a²

x² + y² = r²

x² - y² = a²

x² - y² = r²

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

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