if (a,b) is mid point of chord passing through the vertex of the parabola y²=4x+4 then prove that 2(a+1)=b²

Question

Kamal Desai · Answer

y²=4x+4a,b is mid pt of chordLet x,y on the parabola and one of the extreme of chordVertex is (-1,0)So x-1=2a and y=2bPut in equation of parabolaHence proved

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if (a,b) is mid point of chord passing through the vertex of the parabola y²=4x+4 then prove that 2(a+1)=b²

if (a,b) is mid point of chord passing through the vertex of the parabola y²=4x+4 then prove that 2(a+1)=b²

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