Question # 1

The radius of circle x² + y² + 2gx + 2fy + c = 0 is:

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Scalar

Free vector

Unit vector

Null vector

If the inclination of a line lies between ]90°, 180°[, then the slope of line is :

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Positive

Negative

Zero

undefined

For any point (x, y) on x-axis:

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y = 1

y = 0

y = -1

y = 2

y-coordinate of any point on X-axis:

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0

x

y

1

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

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Normal

Bisects

Equal to

None of these

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

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sin x

cos x

-sin x

-cos x

The graph of the the parabola x² = 4ay lies in quadrant:

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I and II

III and IV

II and III

I and III

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The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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2 : 3

2 : 5

1 : 2

3 : 5

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 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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0

1

2

4

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

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x = a

x = 2

x = 0

None

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ln |sin x|

- ln |sin x|

ln |cos x|

-ln |cos x|

For a square of side x units, the rate of change of area with respect to the side is given by:

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x

x²

2x

2

The equ. of directrix of the parabola y² = -4ax is:

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x = a

x = - a

y = a

y = -a

If (x, y) are the coordinates of a point, then the first component of the ordered pair is called:

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Abscissa

Ordinate

Coordinate axes

None of these

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0

1

-1

2

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