Question # 1

x² + y² = 4 is:

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Function

Not a function

Ellipse

Line

X-co-ordinate of centroid of triangle ABC with A(-2, 3); B(-4, 1); C(3, 5) equals:

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-1

1

3

-3

The vertical line y'oy is called:

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x-axis

y-axis

abscissa

Ordinate

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tan x + c

- tan x + c

sec x tan x + c

- sec x tan x + c

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4a

2a

4b

2b

Measure of the central angle of a minor arc is ____ the measure of the angle subtended in the corresponding major arc.

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Equal

Double

Not equal to

Triple

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

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0

1

The directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

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sec x tan x

sec²x

-sec x tan x

-sec²x

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

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

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Left

Upward

Right

Downward

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Circle

Parabola

Hyperbola

Ellipse

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Constant

Implicit

Explicit

Inverse

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One variable

Three variable

Two variable

Four variable

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1

2

3

0

For different values of k, the equation 4x + 5y = k represents lines ______ to the line 4x + 5y = 0.

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Perpendicular

Parallel

Equal

None of these

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equal to each other

not equal to each

nearly equal to each other

none of these

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

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Even

Odd

Composite

Neither even nor odd function

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies on the circle only if:

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|CP| < r

|CP| > r

|CP| = r

None of these

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