Given the family of lines `a (3x +4y+6)+b(x + y + 2) = 0` The line of the family situated at the greatest distance from the point P(2,3) has equation

33 (d) 11 (c) (b) 3 (a) V10 Given the family of lines, a(2x y 40 b x -2y -3) 0. Among the lines of the family, the number of lines situated at a distance of v 10 from the point M (2,-3)) is (b) 1 (a) 0 (d) co o. Point (0, B) lies on or inside the triangle formed by the lines and 0, x y 2, 1, o Then o can be

Given a family of lines a(2x+y+4)+b(x-2y-1)3)=0 .The number of lines belonging to the family at a distance of sqrt(10) from point (2,-3) is

The distance of the point P(1,-3) from the line 2y-3x=4 is

Consider the family of lines (x-y-6)+lambda(2x+y+3)=0 and (x+2y-4)+mu(3x-2y-4)=0 .If the lines of these 2 families are at right angle to each other then the locus of their point of intersection,is

The equation of line belonging to the family of lines (5x+3y-2)+lambda(3x-y-4)=0 , lambda in R ,and at greatest distance from (0,0) is