JEE Main & Advanced
Mathematics
Conic Sections
Question Bank
Numerical Value Type Questions - Ellipse
question_answer
Tangent at a point P on \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\] meets the x-axis at A and y-axis at B. The locus of the midpoint of AB is \[\frac{{{a}^{2}}}{{{x}^{2}}}+\frac{{{b}^{2}}}{{{y}^{2}}}=k,\] then find k.