If the slope of one line is double the slope of another line and the combined equation of the pair of lines is `((x^2)/a)+((2x y)/h)+((y^2)/b)=0` , then find the ratio `a b: h^2dot`

Answer

`9 : 8`

Explanation

If m and 2m are the slopes , then
`m+2m=-(2//h)/(1//h)=-(2b)/(h)`
and `mxx2m=(1//a)/(1//b)=(b)/(a)`
Eliminating m, we get
`2(-(2b)/(3h))^(2)=(b)/(a)`
or `(ab)/(h^(2))=(9)/(8)`