STRAIGHT LINES | FAMILY OF STRAIGHT LINES, QUESTIONS | Family of Straight Lines., Show that the straight line `x(a+2b)+y(a+3b)=(a+b)` for different values of a and b passes through the fixed point . Find that point, Consider a family of straight lines `(x+y)+lambda(2x-y+1)=0` . Find the equation of straight line belonging to this family that is farthest from (1;-3), If `5a+5b+20c=t` then find the values of `t` for which the line `ax+by+c-1=0` always passes through a fixed point, Consider a triangle with vertices A(1;2) ;B(3;1) and C(-3;0) Find (i) equation of altitude through vertex A (ii) the equation of median through vertex A (iii) the equation of internal angle bisector of `/_A`, A vertex of an equileteral triangle is (2;3) and the equation of the opposite sides is `x+y=2` .Find the equation of the other sides of triangle ., If one sides of a Square is `3x-4y-12=0` and the center is (0;0) ; then find the equation of the diagonals of the square., A ray of light is sent along a line `x-2y-3=0` . Upon reaching the line `3x-2y-5=0` the ray is reflected. Find the equation of the line containing the reflected ray .