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If the slope of one line is double the s...

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`

Text Solution

Verified by Experts

The correct Answer is:
`9 : 8`
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)`
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