A diagonal of rhombus `A B C D` is member of both the families of lines `(x+y-1)+lambda(2x+3y-2)=0`and `(x-y+2)+lambda(2x-3y+5)=0` and rhombus is (3, 2). If the area of the rhombus is `12sqrt(5)` sq. units, then find the remaining vertices of the rhombus.

A diagonal of rhombus A B C D is member of both the families of lines (x+y-1)+lambda1(2x+3y-2)=0 and (x-y+2)+lambda2(2x-3y+5)=0 and rhombus is (3, 2). If the area of the rhombus is 12sqrt(5) sq. units, then find the remaining vertices of the rhombus.

A diagonal of rhombus ABCD is member of both the families of lines (x+y-1)+lambda(2x+3y-2)=0 and (x-y+2)+lambda(2x-3y+5)=0 and rhombus is (3,2). If the area of the rhombus is 12sqrt(5) sq.units,then find the remaining vertices of the rhombus.

A diagonal of rhombus ABCD is a member of both the family of lines (x + y +1) + lamda_1(2x+3y-2) = 0 and (x - y +2) + lamda_2(2x-3y+5) where lamda_1,lamda_2 in" R" and one of the vertex of the rhombus is (3,2) . If area of the rhombus is 2sqrt5 square units then find the length of semi longer diagonal of the rhombus ..........

Consider the family of lines 5x+3y-2+lambda_(1)(3x-y-4)=0 and x-y+1+lambda_(2)(2x-y-2)=0 . Equation of a straight line that belong to both families is

Consider the family of lines 5x+3y-2+lambda_(1)(3x-y-4)=0 " and " x-y+1+lambda_(2)(2x-y-2)=0 . Find the equation of a straight line that belongs to both the families.

Consider the family of lines 5x+3y-2+lambda_(1)(3x-y-4)=0 " and " x-y+1+lambda_(2)(2x-y-2)=0 . Find the equation of a straight line that belongs to both the families.

Consider the family of lines 5x+3y-2+lambda_(1)(3x-y-4)=0 " and " x-y+1+lambda_(2)(2x-y-2)=0 . Find the equation of a straight line that belongs to both the families.

Consider the family of lines 5x+3y-2+lambda_(1)(3x-y-4)=0 " and " x-y+1+lambda_(2)(2x-y-2)=0 . Find the equation of a straight line that belongs to both the families.

Consider the family of lines 5x+3y-2+lambda_(1)(3x-y-4)=0 " and " x-y+1+lambda_(2)(2x-y-2)=0 . Find the equation of a straight line that belongs to both the families.

A member of the family of lines (x+ y -1) + lambda(2x +3y-2) =0, lambda in R intersects a member of the family of lines (ax+y-2) + alpha(bx + 4y-5) = 0, alpha in R , at a fixed point. The ordered pair (a, b) is