Question # 1

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0

2

1

-1

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Parallel lines

Non-parallel lines

Perpendicular lines

Coplanar lines

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[0]

[0, 0]

[0, 0, 0]

None of these

A chord containing the center of the circle is called ______ of the circle:

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Diameter

Chord

Radius

None of these

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

Parametric equations x = a cos t, y = a sin t represent the equation of:

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Line

Circle

Parabola

Ellipse

If (1, x) is the mid point of the line segment joining the points (1, 2) & (1, 6) then x =

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1

2

3

4

The ratio in which the line segments joining (2, 3) and (4, 1) is divided by the line joining (1, 3) and (4, 3) is:

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2 : 1

3 : 1

1 : 2

1 : 1

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

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Positive

Negative

Zero

undefined

A solution of a linear inequality in x and y is an ordered pair of numbers, which _______ the inequality.

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Does not satisfy

May be stisfied

Satisfies

None of these

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a

b

c

a + b

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 vertex of parabola (x - 1)² = 8 (y + 2) is:

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(1, -2)

(0, 1)

(-1, -2)

(1, 2)

The vertex of the parabola x² = -4ay is:

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(a, 0)

(0, 0)

(0, -a)

(0, a)

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4

Does not exist

A chord passing through the focus of a parabola is called a ________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

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0

-1

1

2

Let f(x) = x², real valued function then domain of f is the set of all:

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Real numbers

Integers

Positive numbers

Natural numbers

If a point lies inside a circle, then its distance from the center is:

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Equal to the radius

Less then the radius

Greater then the radius

Equal to or greater than the

Which one is a constant function ?

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f(x) = x²

f(x) = x

f(x) = x + 1

f(x) = 14

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

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