Class 11

Math

Co-ordinate Geometry

Conic Sections

If the normals to the ellipse $a_{2}x_{2} +b_{2}y_{2} =1$ at the points $(X_{1},y_{1}),(x_{2},y_{2})and(x_{3},y_{3})$ are concurrent, prove that $∣∣ x_{1}x_{2}x_{3} y_{1}y_{2}y_{3} x_{1}y_{1}x_{2}y_{2}x_{3}y_{3} ∣∣ =0$.