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If the st line xcosz+ysinz=p touches the curve x^2/a^2+y^2/b^2=1 prove that a^2cos^2z+b^2sin^2z=p^2

If the st line xcosz+ysinz=p touches the curve x^2/a^2+y^2/b^2=1 prove that a^2cos^2z+b^2sin^2z=p^2

Grade:12th pass

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
5 years ago
Solve the line and curve, you will get a quadratic equation for thatquadratic equation D=0

This will be the approach for solving this type of problem

Thanks

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