Please solve the question and explain with steps Share with your friends Share 0 Rahul Sil answered this Dear Student, Let z = x + iy Given, argz-z1z-z2=π4So,argx+iy-10+6ix+iy-4+6i=π4⇒argx-10+iy-6x-4+iy-6=π4⇒argx-10+iy-6-argx-4+iy-6=π4⇒θ1-θ2=π4⇒tan-1y1x1-tan-1y2x2=tan-11⇒tan-1y-6x-10-tan-1y-6x-4=tan-11⇒tan-1y-6x-10-y-6x-41+y-6x-10y-6x-4=tan-11⇒tan-16y-6x2-14x+40+y2-12y+36=tan-11⇒6y-6x2-14x+40+y2-12y+36=1⇒x2-14x+y2-18y+112=0⇒x2-14x+49-49+y2-18y+81-81+112=0⇒x-72-49+y-92-81+112=0⇒x-72+y-92=18So,z-7-9i=x+iy-7-9i =x-7+iy-9 =x-72+y-92 =18 =32 Regards, 1 View Full Answer
