Question # 1

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

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Positive

Negative

Zero

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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

tanh x =

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ln |sin x|

- ln |sin x|

ln |cos x|

-ln |cos x|

A solution of a linear inequality in x and y is an ordered pair of numbers, which _______ the inequality.

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Does not satisfy

May be stisfied

Satisfies

None of these

A line segment joining two distinct points on a parabola is called a ___________ of the parabola:

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Chord

Vertex

Focus

Directrix

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sin x

cos x

sinh x

cosh x

x = 2 is a vertical line perpendicular to _____________:

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x - axis

x - axis may be

y - axis

None of these

y = b is a horizontal line perpendicular to ________:

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x - axis

y - axis may be

y - axis

None of these

The opening of the parabola x² = 4ay is upward of the:

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x -axis

y = c

y - axis

x = y

The focus of the parabola x² = 4ay:

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(0, a)

(-a , 0)

(0, -a)

(a, 0)

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

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Linear inequalities

Equations

Linear equalities

None of these

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1 (1 - 4)

2x - 3

x - 3

x³ - 3x

If the focus lies on the x-axis with coordinates F(a, 0) and directrix of the parabola is = - a then the equation of parabola is:

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x² = 4ay

y²= 4ax

-x²= 4ay

-y²= 4ax

A chord passing through the focus of a parabola is called a ________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

The area A of a circle as a function of its circumference C is:

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4a

2a

4b

2b

A pair of lines of homogeneous second degree equation ax² + 2hxy + by² = 0 are othogonal, if:

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a - b = 0

a + b = 0

a + b > 0

a - b < 0

x = a is a vertical line perpendicular to __________.

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x - axis

x - axis may be

y - axis

None of these

The graph of the parabola y² = -4ax is symmetric about:

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x-axis

major axis

y-axis

minor axis

A line through a point say P perpendicular to the tangent to the curve at P is called:

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Straight line

Tangent line

Normal line

None of these

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