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Find the value of p for which curves x^2...

Find the value of p for which curves `x^2=9p(9-y)` and `x^2=p(y+1)` cut each other at right angles.

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The given curves are` x^{2}=9 p(9-y) ldots . (1)`
`x^{2}=p(y+1) ldots ldots(2)`
Solving (1) and (2) simultaneously, we get
`9 p(9-y)=p(y+1) Rightarrow 81-9 y=y+1 `
`Rightarrow 10 y=80 Rightarrow y=8 `
...
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