If the slope of one of the lines given by `ax^(2)+2hxy+by^(2)=0` is 5 times the other, then

Options

A. `5h^(2)=9ab`
B. `5h^(2)=ab`
C. `h^(2)=ab`
D. `9h^(2)=5ab`

Answer

A

Explanation

Let the slop of the line be m, then slop of second line will be 5m.
Then, `m+5m= - (2h)/(b)`
`and m*5m=(d)/(b)`
`rArr m= -(2h)/(6b)=(-h)/(3b)`
`therefore 5m^(2)=(a)/(b)`
`rArr 5((h)/(3b))^(2)=(a)/(b)`
`rArr (5h^(2))/(9b^(2))=(a)/(b)`
`rArr 5h^(2)=9ab`