Question # 1

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

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Left

Upward

Right

Downward

y² = 4ax, is the standard equation of the:

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Ellipse

Parabola

Hyperbola

None of these

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

The region of the graph ax + by > c is called ______ half plane:

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Open

Boundary of

Closed

None of these

A line segment whose end points lie on the circle is called a __________ of the circle.

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Radius

Chord

Diameter

None of these

x = 4 is a line:

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Parallel to x - axis

Parallel to y - axis

Perpendicular to y-axis

None of these

A line perpendicular to a radial chord of a circle at the end-point (which lies on the circle) is a:

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Secant

Diameter

Chord

Tangent

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

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x = a

x = 2

x = 0

None

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Integral

Indefinite integral

Differential

Definite integral

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The point of intersection of the perpendicular bisectors of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

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

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

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

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x² = 4ay

-x²= 4ay

-y²= 4ax

y²= 4ax

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x - axis

z - axis

y - axis

None of these

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

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Parabola

Hyperbola

Ellipse

None of these

the focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

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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R

R - {2}

R - {2, -2}

R - {-2}

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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

A function, which is to be maximized or minimized is called an ________:

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Maximum function

Objective funciton

Minimum function

None of these

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