Hyperbola Test

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Hyperbola Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following could be used as a definition for a cone?

A
A solid (3-dimensional) object that has a circular base and one vertex.

B
A solid whose surface is generated by a line passing through a fixed point and a fixed plane curve not containing the point, consisting of two equal sections joined at a vertex.

C
A solid (3-dimensional) object that has any polygon as its base and one vertex.

D
Both (1) & (2)
Question 2
1 / -0

If e represents the eccentricity of a hyberbola, then

A
e = 1

B
0 < e < 1

C
e > 1

D
e = 0
Question 3
1 / -0

Which of the following is not a conic section?

A
Point

B
Straight line

C
Triangle

D
All of the above
Question 4
1 / -0

Which of the following geometrical curves contains two branches, where one is mirror image of the other?

A
Parabola

B
Concentric Circles

C
Hyperbola

D
None of the above
Question 5
1 / -0

Which of the following is true about a HYPERBOLA?

A
A plane curve such that the difference of the distances of each point in its periphery from two fixed points are equal.

B
A hyperbola may be defined as the curve of intersection between a right circular conical surface and a plane that cuts through both halves of the cone.

C
The set of points in a plane that are equidistant from a fixed line and a fixed point in the same plane or in a parallel plane.

D
All of the above statements are used to define a hyperbola.
Question 6
1 / -0

Which of the following lies on a hyperbola?

A
Focus of the hyperbola

B
Vertices of the hyperbola

C
Centre of the hyperbola

D
All of the above
Question 7
1 / -0

Which of the following is an equation of a hyperbola?

A
x² + 4y² - 2x = 0

B
y² = 4x + 4y

C
4y² = 2x - x²

D
x² - 2y² - 2x + 8y - 1 = 0

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Hyperbola Test - 1

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Hyperbola Test - 1

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Question 1

A solid (3-dimensional) object that has a circular base and one vertex.

A solid whose surface is generated by a line passing through a fixed point and a fixed plane curve not containing the point, consisting of two equal sections joined at a vertex.

A solid (3-dimensional) object that has any polygon as its base and one vertex.

Both (1) & (2)

Question 2

e = 1

0 < e < 1

e > 1

e = 0

Question 3

Point

Straight line

Triangle

All of the above

Question 4

Parabola

Concentric Circles

Hyperbola

None of the above

Question 5

A plane curve such that the difference of the distances of each point in its periphery from two fixed points are equal.

A hyperbola may be defined as the curve of intersection between a right circular conical surface and a plane that cuts through both halves of the cone.

The set of points in a plane that are equidistant from a fixed line and a fixed point in the same plane or in a parallel plane.

All of the above statements are used to define a hyperbola.

Question 6

Focus of the hyperbola

Vertices of the hyperbola

Centre of the hyperbola

All of the above

Question 7

x2 + 4y2 - 2x = 0

y2 = 4x + 4y

4y2 = 2x - x2

x2 - 2y2 - 2x + 8y - 1 = 0

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x² + 4y² - 2x = 0

y² = 4x + 4y

4y² = 2x - x²

x² - 2y² - 2x + 8y - 1 = 0