1. Tardigrade
  2. Question
  3. Mathematics
  4. If angle between the lines belonging to the family of lines (x+3 y-7)+λ(x+y-3)=0 and (3 x+y-7)+ μ(x+y-3)=0 which are farthest from origin is θ. If tan θ=(p/q) (p, q are coprime) then find p+q. (where λ and μ are real parameters).

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Q. If angle between the lines belonging to the family of lines $(x+3 y-7)+\lambda(x+y-3)=0$ and $(3 x+y-7)+$ $\mu(x+y-3)=0$ which are farthest from origin is $\theta$. If $\tan \theta=\frac{p}{q}$ (p, q are coprime) then find $p+q$. (where $\lambda$ and $\mu$ are real parameters).

Straight Lines

Solution:

Correct answer is '7'