the chords of contact of pair of tangents to circle x2+y2 =1 drawn from any point on line 2x+y=4 pass through the pt (h,k) . find this pt (h,k)

L: 2x+y=4Any general point on P will be given by Ph,4-2hC:x2+y2-1=0Equation of chord of contact of tangents drawn from P will be give by T=0 w.r.t PT=0 w.r.t. x1,y1 isxx1+yy1-1=0therefore required equation ishx+4-2hy=04y+hx-2y=0This represent s a family of line passing through intersection of 4y=0 and x-2y=0solving both we get4y=0y=0x=2yx=0Thus chord of contact always passes through origion O0,0

  • 0
What are you looking for?