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KCET · Maths · Circle

The length of the chord joining the points \((4 \cos \theta, 4 \sin \theta)\) and \(\left(4 \cos \left(\theta+60^{\circ}\right)\right.\), \(\left.4 \sin \left(\theta+60^{\circ}\right)\right)\) of the circle \(x^{2}+y^{2}=16\) is

  1. A 4
  2. B 8
  3. C 16
  4. D 2
Verified Solution

Answer & Solution

Correct Answer

(A) 4

Step-by-step Solution

Detailed explanation

Length of the chord



\(
=4 \sqrt{1+1-2 \cos 60^{\circ}}=4
\)