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Two pairs of straight lines have the equ...

Two pairs of straight lines have the equations `y^(2)+xy-12x^(2)=0andax^(2)+2hxy+by^(2)=0`. One line will be common among them if

A

`-3(2h+3b)`

B

`8(h-2b)`

C

`2(b+h)`

D

`-3(b+h)`

Text Solution

Verified by Experts

The correct Answer is:
A, B
We have,
`y^(2)+xy-12x^(2)=0`
`rArr" "(+4x)(y-3x)=0rArr y=3x, y=-4x`
If `y=3x` is a common line, then
`9b^(2)+6h+a=0" "["Putting "y=3x" in " ax^(2)+2hxy+by^(2)=0]`
`rArr" "a=8(h-2b)`
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