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

If the line `x cos alpha+y sin alpha=p` touches the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` ,then the point of contact will be
`((-a^(2)cos alpha)/(p),(-b^(2)sin alpha)/(p))`
`((b^(2)cos alpha)/(p),(a^(2)sin alpha)/(p))`
`((b^(2)sin alpha)/(p),(a^(2)cos alpha)/(p))`
`( (a^(2)cos alpha)/(p),(b^(2)sin alpha)/(p))`

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