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

The correct option is B 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 ...

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Standard XII

Mathematics

Latus Rectum

The co-ordina...

Question

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

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None of these

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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 $(\frac{1}{5}, \pm \frac{2}{5})$ .

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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 $(\frac{1}{5}, \pm \frac{2}{5})$ .