The product of perpendicular distances from the origin to the pair of straight lines `12x^2+25xy+12y^2+10x+11y+2=0`

Options

A. `(1)/(25)`
B. `(2)/(25)`
C. `(3)/(25)`
D. `(4)/(25)`

Answer

B

Explanation

Here ,`a=12,b=12,c=2,g=5,f=(11)/(2)and h=(25)/(2)`
Now , product of perpendicular distance from origin `=(c)/(sqrt((a-b)^2+4h^2))=(2)/(sqrt(0^2+4((25)/(2))^2))=(2)/(25)`