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If the line x cos alpha+ y sin alpha=p b...

If the line `x cos alpha+ y sin alpha=p` be a normal to the hyperbola `b^(2)x^(2)-a^(2)y^(2)=a^(2)b^(2),` show that,
`p^(2)(a^(2) sec ^(2) alpha- b^(2)"cosec"^(2) alpha)=(a^(2)+b^(2))^(2)`

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