The product of perpendiculars let fall from the point `(x_(1), y_(1))` upon the lines represented by `a x^(2)+2 h x y+b y^(2)=0` is

Options

A. `(|a x_(1)^(2)+2 h x_(1) y_(1)+b y_(1)^(2)|)
(sqrt((a-b)^(2)+4 h^(2)))`
B. `(|a x_(1)^(2)+2 h x_(1) y_(1)+b y_(1)^(2)|)
(sqrt((a-b)^(2)+h^(2)))`
C. `(|a x_(1)^(2)+2 h x_(1) y_(1)+
b y_(1)^(2)|)/(sqrt((a-dot(b))^(2)+4 h^(2)))`
D. `(|a x_(1)^(2)-2 h x_(1) y_(1)+b y_(1)^(2)|)
(sqrt((a-b)^(3)+4 h^(2)))`

Answer

A