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Question

Find the equation of a parabola with vertex at the origin,the axis along x-axis and passing through (2,3).


Solution

Let the equation of parabola be y2=4ax           ...(i)

                                                   [ axis aolng xaxis]

If passes through (2,3) 

   (3)2=4×a×2  9=8a  a=98

Putting the value of a in equation (i),we get

y2=4×98×xy2=92×x2y2=9x

Hence,the required equation of parabola is 2y2=9x.

                                                              

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