The co-ordinates of the extremities of the latus rectum of the parabola 5 y 2 = 4 x are Options: A . &nbsp(15.25),(−15,25) B . &nbsp(15.25),(15,−25) C . &nbsp(15.45),(15,−45) D . &nbspNone of these

Answer: Option B : B y 2 = 4. 1 5 x ; a = 1 5 . Focus is ( 1 5 , 0 ) and co-ordinates of latus rectum are y 2 = 4 25 ⇒ y = ± 2 5 or end points of latus rectum are ( 1 5 , ± 2 5 ) .

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

Question

The co-ordinates of the extremities of the latus rectum of the parabola

5 y^{2} = 4 x

are

Options:

A . (15.25),(−15,25)

B . (15.25),(15,−25)

C . (15.45),(15,−45)

D . None of these

Answer: Option B
:
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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