[" (A) "y=(0,4)x" .(B) "y=(5/12)x" (C) "6y-5x=0" (D) "6y+5x=0],[" Aime is drawn through a variable polith "A(t+1,2t)" so as to meet the following lines in points indictated "],[" wim them "7x+y-16=0" in "Bx-y-8=0" in "c,x-5y+B=0" in D.then "AC" ,"AB" ,AD are in "],[" and "P]

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,quad 5x-y-8=0,x-5y+8=0 at B,C,D, respectively.Prove that AC,AB,AD are in HP.

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(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.

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.

Prove that the three lines 2x-y-5=0, 3x-y-6=0 and 4x-y-7=0 meet in a point.

The orthocentre of the triangle formed by the lines x-7y+6=0,2x-5y-6=0 and 7x+y-8=0 is