Question # 1

The point of intersection of the altitudes of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

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

If 2 and 2 are x and y-components of a vector, then its angle with x-axis is:

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30°

45°

60°

90°

If r is the radius of the circle and its center is at origin, then equation of circle is:

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x² + y² = a²

x² + y² = r²

x² - y² = a²

x² - y² = r²

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

y = b is a horizontal line parallel to _________:

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x - axis

x - axis may be

y - axis

None of these

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

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

The focus of the parabola x² = 4ay:

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(0, a)

(-a , 0)

(0, -a)

(a, 0)

ax + by < c is an inequality of:

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One variable

Threevariable

Twovariable

Fourvariable

A line which divides a plane into two parts is called:

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Boundary point

Boundary line

Feasible line

None

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

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

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Directrix

Vertex

Focus

Eccentricity

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

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Parabola

Hyperbola

Ellipse

Circle

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Free vector

Unit vector

Null vector

None of these

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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

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Circle

Parabola

Hyperbola

Ellipse

y = b is a horizontal line perpendicular to ________:

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x - axis

y - axis may be

y - axis

None of these

If y is an image of x under the function f, we denote it by:

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x = f(y)

x = y

y = f(x)

f(x, y) = c

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

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