Question # 1

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tan x

cot x

- tan x

- cot x

Distance of the point (-3, 7) from x-axis is:

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3

-3

7

10

The fixed point of the conic is called:

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Directrix

Vertex

Focus

None of these

The feasible region is ________ if it can easily by enclosed within a circle.

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Bounded

Exist

Unbounded

None of these

If a circle and a line intersect in two points, then the line is called:

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A chord

A secant

A diameter

None of these

Point of intersection of lines x - 2y + 1 = 0 and 2x - y + 2 = 0 equals:

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(1, 0)

(0, 1)

(-1, 0)

(0, -1)

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

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0

1

A linear equation in two variables represents:

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Circle

Ellipse

Hyberbola

Straight line

If the inclination of the line l lies between ]0°, 90°[, then the slope of l is:

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Positive

Negative

Undefined

None of these

If any two vectors of scalar triple product are equal, then its value is equal to:

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0

1

-1

2

Angle between the lines x + y + 1 = 0 & x - y + 4 = 0 is:

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30°

45°

60°

90°

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

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y = 1

y = 0

y = -1

y = 2

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

The graph of the parabola y² = -4ax is symmetric about:

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x-axis

major axis

y-axis

minor axis

The point of a parabola which is closest to the focus in the:

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Directrix

Vertex

Focus

Chord

y - ordinate of the centroid of triangle with vertices A(-2, 3) B(-4, 1), C(3, 2) is:

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3

1

2

0

The center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

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2 - 7

2 + 7

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

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Positive

Negative

Zero

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