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Find the equation of a line joining the ...

Find the equation of a line joining the vertex of parabola `y^(2)=8x` to its upper end of latus rectum.

Text Solution

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`y^(2)=8x`
Comparing with `y^(2)=4ax`
4a=8
a=2
Co-ordinates of the latus rectum L(a,2a)=L(2,4)
Co-ordiantes of vertex A=(0,0)
Equation of line joining the points A (0,0) and L(2,4)
`y-0=(4-0)/(2-0)(x-0)`
`rArr" "y=2x`.
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