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 (0,2) is
(A) x-y-2=0 (B) x+y=0 (C) x-y=0 (D) 2x-y-3=0

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

Locus of the image of the point (1,1) in the line (5x-2y-7)+lambda(2x-3y+6)=0lambda in R, is

Equation of the line belonging to the system 3x+2y-8+lambda(2x-5y+1)=0 and having equal intercepts is

The equation of straight line belonging to both the families of lines (x-y+1)+lambda_1(2x-y-2)=0 and (5x+3y-2)+lambda_2(3x-y-4)=0 where lambda_1, lambda_2 are arbitrary numbers is (A) 5x -2y -7=0 (B) 2x+ 5y - 7= 0 (C) 5x + 2y -7 =0 (D) 2x- 5y- 7= 0

Consider the family of lines (x+y-1)+lambda(2x+3y-5)=0 and (3x+2y-4)+mu(x+2y-6)=0 Equation of a line that belongs to both the family is (A) x-2y-8=0 (B) x-2y+8=0 (C) 2x+y-8=0 (D) 2x-y-8=0

Consider the family of lines (x+y-1)+lambda(2x+3y-5)=0 and (3x+2y-4)+mu(x+2y-6)=0 Equation of a line that belongs to both the family is (A) x-2y-8=0 (B) x-2y+8=0 (C) 2x+y-8=0 (D) 2x-y-8=0

Locus of the image of the point (1,1) in the line (5x-2y-7)+lambda(2x-3y+6)=0 (lambda in R'), is

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

The equation of a line passing through the point if intersection of the lines 4x-3y -1 =0 and 5x -2y -3 =0 and parallel to the line 2y -3x + 2 = 0 is