Dear sir Please help me solve these two problems- - Consider a family of straight lines (x+y)+lamda(2x-y+1)=0. Find the equation of the straight line belonging to this family that is farthest from (1,-3).
- If the lines joining the intersection of curves ax^2+2hxy+b(y)^2+2gx=0 and a1(x^2)+2h1xy+b1(y^2)+2g1x=0 are mutually perpendicular then prove that g(a1+b1)=g1(a+b)
Dear sir
Please help me solve these two problems-
- Consider a family of straight lines (x+y)+lamda(2x-y+1)=0. Find the equation of the straight line belonging to this family that is farthest from (1,-3).
- If the lines joining the intersection of curves ax^2+2hxy+b(y)^2+2gx=0 and a1(x^2)+2h1xy+b1(y^2)+2g1x=0 are mutually perpendicular then prove that g(a1+b1)=g1(a+b)