If p and q are the x and y -intercepts respectively of the line passing through the points (a , b ) and (a , b ) , then a^2 p^2 + b^2 q^2 =

Step-by-step solution

The equation of line is: x p + y q =1 Equation (i) passes through (a , b ) and (a , b ) . a p + b q =1...(i) and a p + b q =1...(ii) Solving equations (ii) and (iii), we get: a p = - ( - ) and b q = - ( - ) Now, a^2 p^2 + b^2 q^2 = ( - )^2+( - )^2 ^2( - )^2 a^2 p^2 + b^2 q^2 = ^2 ( - 2 )