Question # 1

The number e denotes the _________ of the conic:

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Directrix

Vertex

Focus

Eccentricity

If (x, y) are the coordinate of a point ordered pair is called:

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Abscissa

Ordinate

Coordinate

Ordered pair

Inclination of X-axis or of any line parallel to X-axis is:

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Zero

Undefined

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

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

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x-axis

major axis

y-axis

minor axis

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Position vector of O

Position vector of P

Unit vector

Null vector

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cosech x coth x

-cosech²x

-cosech x coth x

cosech²x

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domain

range

lower limit

upper limit

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Parallel lines

Non-parallel lines

Perpendicular lines

Coplanar lines

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

The point (2, 5) lies the lie 3x - y + 1 = 0

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Above

Below

On

None

y = b is a horizontal line perpendicular to ________:

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x - axis

y - axis may be

y - axis

None of these

If f(x) = cos x then f'(0) is equal to:

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0

-1

1

The focus of the parabola x² = 4ay:

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(0, a)

(-a , 0)

(0, -a)

(a, 0)

If y = x² + 1 _______________ x changes from 3 to 3.02 then dy = __________

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0.1204

.12

.02

1.2

The graph of linear equation of the form ax + by = c is a line, which divides the plane into ______ disjoint regions, where a, b and c are constants and a, b are not both zero.

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One

Two

Thre

None of these

A line segment joining two distinct points on a parabola is called a ___________ of the parabola:

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Chord

Vertex

Focus

Directrix

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies on the circle only if:

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|CP| < r

|CP| > r

|CP| = r

None of these

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

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Centroid

Ortho-center

Circums-center

In-center

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sech x tanh x

-sech²x

-sech x tanh x

sech²x

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(1, 1)

(1, 3)

(1, 4)

(1, 5)

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