A Line through the variable point `A(1+k,2k)` meets the lines `7x+y-16=0, 5x-y-8=0` and `x-5y+8=0` at B,C,D respectively. Prove that AC,AB and AD are in HP.

A line through the variable point A(k+1,2k) meets the lines 7x+y-16=0,5x-y-8=0,x-5y+8=0 at B ,C ,D , respectively. Prove that A C ,A B ,A D are in HP.

A line through the variable point A(k+1,2k) meets the lines 7x+y-16=0,5x-y-8=0,x-5y+8=0 at B ,C ,D , respectively. Prove that A C ,A B ,A D are in HP.

A line through the variable point A(k+1,2k) meets the lines 7x+y-16=0,quad 5x-y-8=0,x-5y+8=0 at B,C,D, respectively.Prove that AC,AB,AD are in HP.

Which of the following is / are CORRECT (A) If the points A (x,y+z) , B (y,z+x) and C (z,x+y) are such that AB=BC , then x, y, z are in A.P. (B) If a line through the variable point A (k+1, 2k) meets the lines , 7x+y-16=0 , 5x-y-8=0 , x-5y+8=0 at B , C and D Respectively, then AC , AB and AD are in H.P.

Show that if any line through the variable point A(k+1,2k) meets the lines 7x+y-16=0,5x-y-8=0,x-5y+8=0 at B,C,D, respectively,the AC,AB, and AD are in harmonic progression. (The three lines lie on the same side of point A.)

Show that if any line through the variable point A(k+1,2k) meets the lines 7x+y-16=0,5x-y-8=0,x-5y+8=0 at B ,C ,D , respectively, the A C ,A B ,a n dA D are in harmonic progression. (The three lines lie on the same side of point Adot)dot

A line through A(-5,-4) meets the lines x+3y+2=0, 2x+y+4= and x-y-5=0 at the points B,C,D respectively. Find the equation of the line if (15/(AB))^(2)+(10/(AC))^(2)=(6/(AD))^(2)

A line through A (-5,-4) with slope tantheta " meets the line " x+3y+2=0, 2x+y+4=0, x-y-5=0 at B,C,D respectivelly, such that (15/AB)^2+(10/AC)^2 =(6/AD)^2 then