If the straight line xcosα + ysinα = p touches the curve x2a2-y2b2=1 – InterviewSolution

1.	If the straight line xcosα + ysinα = p touches the curve x2a2-y2b2=1, then prove that a2cos2α - b2sin2α = p2.
Answer» If the straight line xcos $α$ + ysin $α$ = p touches the curve $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$ , then prove that a²cos² $α$ $-$ b²sin² $α$ = p².

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