Question # 1

The ratio between the measure of the radial segment and the diameter of a circle is:

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2 : 1

4 : 3

1 : 2

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

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Normal

Bisects

Equal to

None of these

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

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5 sin x

cosh (5x)

5 cosh (5x)

-5 cosh (5x)

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

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Even

Odd

Composite

Neither even nor odd function

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Scalar

Free vector

Unit vector

Null vector

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

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

The small change in the value ofx, positive or negative is called the -------- of x.

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Increment

Differential

Derivative

none of these

The coordinate axes divide the plane into------------ equal parts:

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1

2

3

4

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Unit vector

Null vector

Position vector

None of these

If equation of circle is (x - h)² + (y - k)² = r², then center of a circle:

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(-h, -k)

(h, k)

(-h, k)

(h, -k)

If (2, 1) is the mid point of the line segment joining the points (2, x) & (2, -5) then x =

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1

2

7

-7

Equation of axis of the parabola x² = 4ay is:

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x = 0

x = a

y = 0

y = a

The number e denotes the _________ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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Constant

Implicit

Identity

Inverse

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tan x + c

- tan x + c

sec x tan x + c

- sec x tan x + c

The graph of the parabola x² = -4ay is symmetric about:

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x-axis

major axis

y-axis

minor axis

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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

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Integration

Integration w.r.t.x.

Differentiation

Differentiation w.r.t.x

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