Straight Line Question 203

Question: If all lines given by the equation $ ( 3sin\theta +5cos\theta )x+( 7sin\theta -3cos\theta ) $ $ y+11(sin\theta -\cos \theta )=0 $ Pass through a fixed point P for all $ \theta \in R, $ then find the half distance of P from Q (7, - 10).

Solution:

Answer: 5.00