area

if eqn 2hxy +2gx+2fy+c=0 represents 2 st. lines show that they form a rectangle of area mod(fg)/h² with axes

1 Answers

on patial differentiation of given eq we get the eq of 2 lines represented in eq
1. hy+f=0
2. hx+g=0

so x,y intercepts are -g/h,-f/h respectivly

also clerly the lines r perpend.

so area of rectangle formed =length * breadth

=(-g/h)*(-f/h)=fg/h²

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