TS EAMCET · Maths · Circle
If \(A\left(\frac{\pi}{3}\right), B\left(\frac{\pi}{6}\right)\) are the points on the circle represented in parametric from with centre \((0,0)\) and radius 12 then the length of the chord \(A B\) is
- A \(6(\sqrt{6}-\sqrt{2})\)
- B \(6(\sqrt{6}-\sqrt{3})\)
- C \(\sqrt{2}(\sqrt{3}-1)\)
- D \(6(\sqrt{3}-1)\)
Answer & Solution
Correct Answer
(A) \(6(\sqrt{6}-\sqrt{2})\)
Step-by-step Solution
Detailed explanation
Parametric equations of given circle is \(x=12 \cos \theta, y=12 \sin \theta\) \(\left[\because\right.\) Parametric equation of \(x^2+y^2=r^2\) is \(x=r \cos \theta, y=r \sin \theta\) ] Now, coordinates of point \(A\) are given by…
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