The line 3 x+5 y+9=0 w.r.t. the circle x2+y2-4 x+6 y+5=0 is

Question

The line 3 x+5 y+9=0 w.r.t. the circle x2+y2-4 x+6 y+5=0 is (A) chord (B) diameter (C) tangent (D) None

Tardigrade Admin · Accepted Answer

From centre (2,-3), length of perpendicular on line 3 x+5 y+9=0 is p=(6-15+9/√25+9)=0; line is diameter.

Q. The line $3 x + 5 y + 9 = 0$ w.r.t. the circle $x^{2} + y^{2} - 4 x + 6 y + 5 = 0$ is