Question

The angle between the tangents drawn from the origin to the circle $(x-7{)}^2+(y+1{)}^2=25$ is-

• A. $\pi /3$
• B. $\pi /6$
• C. $\pi /2$
• D. $\pi /8$

Answer 1

The correct option is C $\pi /2$

$(x-7{)}^2+(y+1{)}^2=25$

$\left|\frac{7m+1}{\sqrt{m^2+1}}\right|=5$

$7m+1=25(m^2+1)$

$24m^2+14m-24=0$

$m_1{m}_2=-1$, They are $\perp$

angle should be $\frac{\pi }{2}$