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Consider the equation of a pair of strai...

Consider the equation of a pair of straight lines as `lambdax^(2)-10xy+12y^(2)+5x-16y-3=0`. The angles between the lines is `theta` . Then the value of `tan theta` is

A

`1//5`

B

`2//9`

C

`1//7`

D

`3//4`

Text Solution

Verified by Experts

The correct Answer is:
3
`tantheta=(2sqrt(h^(2)-ab))/(a+b)=(2sqrt(25-24))/(14)=(1)/(7)`
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