Sign in
Please select an account to continue using cracku.in
↓ →
If the radius of two circles be 6 cm and 9 cm and the length of the transverse common tangent be 20 cm, then find the distance between the two centres.
For two circles with radii $$r_1=6$$ cm and $$r_2=9$$ cm, the length of the transverse common tangent is $$20$$ cm.
For a transverse common tangent,
$$\Rightarrow$$ $$L^2=d^2-(r_1+r_2)^2$$, where $$L$$ is the length of the tangent.
$$\Rightarrow$$ $$20^2=d^2-(6+9)^2$$
$$\Rightarrow$$ $$400=d^2-225$$
$$\Rightarrow$$ $$d^2=625$$
$$\Rightarrow$$ $$d=25$$ cm.
Was this solution helpful?
Click on the Email ☝️ to Watch the Video Solution
Create a FREE account and get:
Start your IIM journey with the right preparation and crack CAT 2026.
Educational materials for CAT preparation
Ask our AI anything
AI can make mistakes. Please verify important information.
AI can make mistakes. Please verify important information.
91- 6303239042
