Question

The equations of the tangents to the circle $x^2+y^2=36$ which are inclined at an angle of ${45}^o$ to the x-axis are

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

y = mx + c is a tangent, if c = $\pm a\sqrt{1+m^2}$, where m = $tan{45}^o=1$

$\therefore$ The equation is $y=x\pm 6\sqrt{2}$