If all the lines given by the equation (3sin⁡θ+5cos⁡θ)x+(7sin⁡θ−3cos⁡θ)y+11(sin⁡θ−cos⁡θ)=0  pass through a fixedpoint P for all θ∈R, then the distance of P from Q(7 ,- 10) is

We have equation of family of straight lines as (3x+7y+11)sin⁡θ+(5x−3y−11)cos⁡θ=0Lines are concurrent at point of intersection of lines 3x+7y+11=0 and 5x−3y−11=0Point of intersection is P(1,-2).Distance of point P from point Q (7,- 10) is 62+82=10