Sign in
Please select an account to continue using cracku.in
↓ →
The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of direct common tangent to the length of the transverse common tangent?
Given distance between the centers=10 cm
Length of transverse common tangent=$$\sqrt{d^{2}-(r1+r2)^{2}}$$
=$$\sqrt{10^{2}-(3+4)^{2}}$$
=$$\sqrt{100-49}$$
=$$\sqrt{51}$$
Length of direct common tangent=$$\sqrt{d^{2}-(r1-r2)^{2}}$$
=$$\sqrt{100-1}$$
=$$\sqrt{99}$$
Ratio=$$\sqrt{99}/\sqrt{51}$$
=$$\sqrt{33}/\sqrt{17}$$
Was this solution helpful?
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
