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Conic Sections - Set 1

Home
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NUST Entrance Test
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Mathematics
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Conic Sections

Set 1

MM

Mashaal Masha

Oct 08, 2022

On this page

$Which of the following conic has an eccentricity $0<e<1$?$
$Eccentricity of the Earth is$
$Which of the following conic has an eccentricity equal to 1.$
$At how many maximum points can two different conics intersect.$
$Find the focus of the parabola $y^{2}=4x$$
$When both nappes of a double-napped cone are intersected by a plane (not passing through the vertex), the cross section produces$
$Find the equation of the asymptotes of the hyperbola $\frac {(y+2)^{2}}{16}-\frac {(x-2)^{2}}{9}=1$$
$Find the eccentricity of the hyperbola $\frac{x^{2}}{4}-\frac{y^{2}}{9}=1$$
$Find the vertex of the parabola $(x-2)^{2} = 4(y+2)$$
$Which of the following is a special form of ellipse when minor and major axes are equal.$

Choose the correct options for the following questions.

Which of the following conic has an eccentricity $0

Difficulty: Easy

A:

Parabola

B:

Hyperbola

C:

Ellipse

D:

Circle

View Solution Steps

Eccentricity of the Earth is

Difficulty: Easy

A:

Which of the following conic has an eccentricity $0<e<1$?

B:

Equal to 1

C:

Greater than 1

D:

Equal to 0

View Solution Steps

Which of the following conic has an eccentricity equal to 1.

Difficulty: Easy

A:

Parabola

B:

Hyperbola

C:

Ellipse

D:

Circle

View Solution Steps

At how many maximum points can two different conics intersect.

Difficulty: Easy

A:

2

B:

3

C:

4

D:

Infinite points

View Solution Steps

Find the focus of the parabola $y^{2}=4x$

Difficulty: Easy

A:

$(1,0)$

B:

$(0,1)$

C:

$(4,0)$

D:

$(0,4)$

View Solution Steps

When both nappes of a double-napped cone are intersected by a plane (not passing through the vertex), the cross section produces

Difficulty: Easy

A:

A Hyperbola

B:

A Circle

C:

An Ellipse

D:

A Parabola

View Solution Steps

Find the equation of the asymptotes of the hyperbola $\frac {(y+2)^{2}}{16}-\frac {(x-2)^{2}}{9}=1$

Difficulty: Easy

A:

y=\pm (x-2)-2

B:

y=\pm \frac{1}{2} (x-4)+3

C:

y=\pm \left(x- \frac{2}{3} \right)

D:

y=\pm \frac{4}{3} (x-2)-2

View Solution Steps

Find the eccentricity of the hyperbola $\frac{x^{2}}{4}-\frac{y^{2}}{9}=1$

Difficulty: Easy

A:

\frac{3}{2}

B:

\sqrt{13}

C:

\frac {\sqrt{13}}{2}

D:

\frac{4}{9}

View Solution Steps

Find the vertex of the parabola $(x-2)^{2} = 4(y+2)$

Difficulty: Easy

A:

$(2,2)$

B:

$(-2,2)$

C:

$(2,-2)$

D:

$(-2,-2)$

View Solution Steps

Which of the following is a special form of ellipse when minor and major axes are equal.

Difficulty: Easy

A:

Parabola

B:

Circle

C:

Hyperbola

D:

None of these

View Solution Steps