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Length of Latus Rectum of Parabola y^(2)...

Length of Latus Rectum of Parabola `y^(2)=10x`

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Given equation `y^(2)=10x`
Comparing with `y^(2)=4ax`
`4a=10" "rArr" "a=(5)/(2)`
`:. "Coordinates of focus"=(a,0)=((5)/(2),0)`
Axis of parabola : y=0
Equation of directrix : x+a=0
`rArr""x+(5)/(2)=0" "rArr2x+5=0`
Length of latus rectum `=4a=4xx(5)/(2)=10`
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