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The pair equation of the lines passing t...

The pair equation of the lines passing through the origin and having slopes 3 and `-(1)/(3)`, is

A

`3y^2+8xy-3x^2=0`

B

`3x^2+8xy+3y^2=0`

C

`3y^2-8xy-3x^2=0`

D

`3x^2+8xy-3y^2=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Here , `m_1=3,m_2=(-1)/(3)`
Here , the lines are `y=3x,y=(-1)/(3)x`
On multiplying both the lines , we get `(y-3x)(3y+x=0`
`therefore 3x^2+8xy-3y^2=0` .
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