The lines `y=m_1x ,y=m_2xa n dy=m_3x` make equal intercepts on the line `x+y=1.` Then (a) `2(1+m_1)(1+m_3)=(1+m_2)(2+m_1+m_3)` (b)`(1+m_1)(1+m_3)=(1+m_2)(1+m_1+m_3)` (c)`(1+m_1)(1+m_2)=(1+m_3)(2+m_1+m_3)` (d)`2(1+m_1)(1+m_3)=(1+m_2)(1+m_1+m_3)`

The lines y=m_(1)x,y=m_(2)x, and y=m_(3)x make equal in-tercepts on the line x+y=1 . then

The lines y=m_(1)x,y=m_(2)xandy=m_(3)x make equal intercepts on the line x+y=1 Then (a) 2(1+m_(1))(1+m_(3))=(1+m_(2))(2+m_(1)+m_(3))(1+m_(1))(1+m_(3))=(1+m_(2))(1+m_(1)+m_(3))(1+m_(1))(1+m_(2))=(1+m_(3))(2+m_(1)+m_(3))(1+m_(1))(1+m_(3))=(1+m_(2))(1+m_(1)+m_(3))2(1+m_(1))(1+m_(3))=(1+m_(2))(1+m_(1)+m_(3))

If the lines y=m_(r )x, r=1, 2, 3 cut off equal intercepts on the transversal x+y=1 , then 1+m_(1), 1+m_(2), 1+m_(3) are in :

If the X line y=m,x , r = 1,2,3 cut off equal intercepts on transversal line x+y=1 , then 1+m_1 ,1+m_2 , 1+m_3 are in

If the transversal y = m_(r)x: r = 1,2,3 cut off equal intercepts on the transversal x +y = 1 then 1 +m_(1),1 +m_(2),1+m_(3) are in

If the transversal y = m_(r)x: r = 1,2,3 cut off equal intercepts on the transversal x +y = 1 then 1 +m_(1),1 +m_(2),1+m_(3) are in

Prove that the lines y=m, x, r=1, 2, 3 . Cut off equal intercepts on the transversal x+y=1 if 1+m_1, 1+m_2 , 1+m_3 are in H.P.

Show that the lines y-m_1 x-c_1 = 0 , y-m_2x-c_2 = 0 and y-m_3 x-c_3 =0 form an isosceles triangle with the first line as base if : (1+m_1 m_2) (m_1 - m_3) + (1+m_1 m_3) (m_1 - m_2) = 0

If the lines whose equations are y=m_1 x+ c_1 , y = m_2 x + c_2 and y=m_3 x + c_3 meet in a point, then prove that : m_1 (c_2 - c_3) + m_2 (c_3 - c_1) + m_3 (c_1 - c_2) =0