TS EAMCET · Maths · Circle
The length of the common chord of the circles of radii 15 and 20, whose centres are 25 unit of distance apart, is
- A 12
- B 16
- C 24
- D 25
Answer & Solution
Correct Answer
(C) 24
Step-by-step Solution
Detailed explanation
Given, \(r_1=15\) unit \(r_2=20 \text { unit }\) \(C_1 C_2=25\) unit Let \(\angle A C_2 D=\theta\) Then, in right angled triangle \(A D C_2\), \(A D=r_2 \sin \theta\) \(\Rightarrow \quad \frac{A D}{r_2}=\sin \theta\) ...(i) Now, in right angled triangle \(A D C_1\)…
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