Question # 1

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

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If the upper limit is a constant and the lower limit is a variable, then the integral is a function of:

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x

y

lower limit

upper limit

x = 4 is the solution of inequality:

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x + 3 > 0

x - 3 < 0

-2x + 3 > 0

x + 3 < 0

If in the case of translation of axes, O (-3, 2), (x, y) = (-6, 9) then (X, Y) =

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(-3, 9)

(-3, 7)

(-9, 11)

(3, 7)

The graph of 2x + y < 2 is the open half plane which is ________ the origin side of 2x + y = 2:

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At

Not an

On

None of these

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(1, 1)

(1, 3)

(1, 4)

(1, 5)

The ratio in which x-axis divides the line segment joining the points:

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1 : 1

1 : 3

1 : 5

1 : 2

Non-vertical lines divide the plane into___________half plane:

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Upper and lower

Many

Left and Right

None of these

The line l is horizontal if and only if slope is equal to:

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0

1

2

undefined

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 point where the axis meets the parabola is called ________ of the parabola:

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Directrix

Vertex

Focus

Eccentricity

The function y = ln x is a/an -------------- function of x.

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Constant

Explicit

Exponential

Logarithmic

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Free vector

Unit vector

Null vector

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

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

f(x) = sin x + cos x is ------------ function:

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Even

Odd

Composite

Neither even nor odd function

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domain

range

lower limit

upper limit

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

If the directed distances AP and PB have same signs, then their ratio is positive and P is said to divide AB:

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Internally

May be divide

Externally

None of these

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