MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

General Equation of Parabola

Axis of a par...

Question

Axis of a parabola lies along x-axis. If its vertex and focus are at distances $2$ and $4$ respectively from the origin, on the positive x-axis then which of the following points does not lie on it?

A

(4, - 4)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

(5, 2 \sqrt{6})

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

(8, 6)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

6, 4 \sqrt{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $(8, 6)$
Equation of parabola is
$y^{2} = 8 (x - 2)$
$(8, 6)$ does not lie on parabola.

Suggest Corrections

thumbs-up

0

Similar questions

Q. Let a parabola

P

be such that its vertex and focus lie on the positive

x

-axis at a distance

2

4

units from the origin, respectively. If tangents are drawn from

O (0, 0)

to the parabola

P

P

S

R

, then the area (in sq. units) of

Δ S O R

Q. The axis of a parabola is along the line

y = x

and the distance of the origin from its vertex is

\sqrt{2}

and that from its focus is

2 \sqrt{2}

respectively. If the vertex and focus both lie in the first quadrant then the equation of the parabola is

Q. A parabola has its vertex and focus in the first quadrant and axis along the line

y = x

. If the distances of the vertex and focus from the origin are respectively

\sqrt{2}

2 \sqrt{2}

, then an equation of the parabola is

Q. Prove that the equation to the parabola, whose vertex and focus are on the axis of

x

a

a^{'}

from the origin respectively, is

y^{2} = 4 (a^{'} - a) (x - a) .

Q. Find the equation of the parabola whose vertex and focus lie on the

x

axis at distances

a

a_{1}

from the origin respectively.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Parabola

MATHEMATICS

Watch in App

explore_more_icon

Explore more

General Equation of Parabola

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon