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If the pair of lines represented by ax^2...

If the pair of lines represented by `ax^2+2hxy+by^2=0,ab ne 0`, are such that the sum of the slopes of the lines is three times the product of their slopes , then

A

`3b+2h=0`

B

`3a+2h=0`

C

`2a+3h=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Let `y=m_1x and y=m_2x` be the lines represented by `ax^2+2hxy+by^2=0`.
Then, `m_1m_2=-(2h)/(b)`
and `m_1m_2=(a)/(b)`
It is given that `m_1+m_2=3m_1m_2`
`rArr -(2h)/(b)=(3a)/(b)`
`therefore 2h+3a=0`
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