Tangent is drawn to ellipse x^2 27 + y^2 1 =1 at (3 3 , ) , where ( (0, 2 ) ) . Then, the value of such that the sum of intercept on axes made by this tangent is minimum, is

Step-by-step solution

Equation of tangent is drawn at a (3 3 , ) to the curve is x 3 3 + y 1 =1 Thus, sum of intercepts array ll & =(3 3 + cosec )=f( ) (say) & f^ ( )=3 3 - cosec & = 3 3 ^3 - ^3 ^2 ^2 Put & f^ ( )=0 & ^3 = 1 3^ 3 / 2 ^3 & = 1 3 & = 6 array