Question

Tentukan persamaan garis singgung x2+y2-2x+4y-4=0 yang tegak lurus garis 5x-12y+15=0

Answer 1

M= 5/12
m1.m2=-1
5/12.m2=-1
m2=-12/5
(x-1)^2+(y+2)^2=4+1+4
r=√9=3
y+2= -12/5(x-1)+-3.√(-12/5)^2+1)
y+2=-12/5(x-1)+-3*13/5
*5
5y+10=-12x+12+-39
5y+12x+37=0
5y+12x-41=0