Question # 1

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

The range of the function f(x) = |x|

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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

If s is the distance traveled by a body at time t, the velocity is given by the expression:

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The opening of the parabola y² = -4ax is to the left of the:

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x-axis

x = 1

y-axis

x = 0

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0

1

-1

2

If the cutting plane is slightly tillted and cuts only one nappe of the cone, then the section is a / an:

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Ellipse

Circular cone

Circle

Point circle

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Scalar

Free vector

Unit vector

Null vector

If (1, x) is the mid point of the line segment joining the points (1, 2) & (1, 6) then x =

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1

2

3

4

Perpendicular dropped from the center of a circle on a chord _______ the chord:

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Normal

Bisects

Equal to

None of these

The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

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Euler

Cauchy

Leibniz

Newton

The directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

The focus of the parabola x2=-4ay is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

Which of the following is not a vector quantity ?

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Weight

Mass

Force

Velocity

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

The term function was introduced by:

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Euler

Newton

Lagrange

Leibniz

y = 2x + 3 is the;

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Slope-intercept form

Two points form

Point slope form

Intercepts form

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

The centroid of a triangle is a point that divides each median in the ratio:

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2 : 1

2 : 3

1 : 3

4 : 3

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tan x

cot x

- tan x

- cot x

In the case of translation of axes which formula is true:

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x = X - h

x = X + h

x + X = h

None

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