The co-ordinates of the extremities of the latus rectum of the parabola 5 y 2-4 x areA- None of theseB- 1 - 5-4 - 5-1 - 5-4 - 5C- 1 - 5-2 - 5-1 - 5-2 - 5D- 1 - 5-2 - 5-1 - 5-2 - 5

The correct option is C y^2 = 4.1/5 x ; a = 1/5 nbsp;. Focus is ( 1/5 , 0 ) and co ordinates of latus rectum are y^2 = 4/25⇒ y = nbsp;± 2/5 nbsp; or end ...

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

Byju's Answer

Standard XI

Mathematics

Terminologies Related to a Parabola

The co-ordina...

Question

The co-ordinates of the extremities of the latus rectum of the parabola $5 y^{2} = 4 x$ are

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

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

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

None of these

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

Open in App

Solution

The correct option is B

$y^{2} = 4. \frac{1}{5} x; a = \frac{1}{5}$ . Focus is $(\frac{1}{5}, 0)$ and co-ordinates of latus rectum are $y^{2} = \frac{4}{25} \Rightarrow y = \pm \frac{2}{5}$

or end points of latus rectum are $(\frac{1}{5}, \pm \frac{2}{5})$ .

Suggest Corrections

Similar questions

The co-ordinates of the extremities of the latus rectum of the parabola $5 y^{2} = 4 x$ are

Q. The co – ordinates of the extremities of the latus rectum of the parabola

5 y^{2} = 4 x

are

Q. Arrange the following fractions in the ascending order:

\frac{3}{5}, \frac{1}{5}, \frac{4}{5}, \frac{2}{5}

Solve for ' $x$ ' and ' $y$ ', using the method of substitution:
$4 x + 3 y = 12$ ; $x - 3 y = 9$ .

Q. The co – ordinates of the extremities of the latus rectum of the parabola

5 y^{2} = 4 x

are

Join BYJU'S Learning Program

The co-ordinates of the extremities of the latus rectum of the parabola 5y2=4x are

The correct option is B y2=4.15x;a=15 . Focus is (15,0) and co-ordinates of latus rectum are y2=425⇒y=±25 or end points of latus rectum are (15,±25) .

The co-ordinates of the extremities of the latus rectum of the parabola $5 y^{2} = 4 x$ are

The correct option is B

$y^{2} = 4. \frac{1}{5} x; a = \frac{1}{5}$ . Focus is $(\frac{1}{5}, 0)$ and co-ordinates of latus rectum are $y^{2} = \frac{4}{25} \Rightarrow y = \pm \frac{2}{5}$

or end points of latus rectum are $(\frac{1}{5}, \pm \frac{2}{5})$ .