AP EAMCET · Maths · Circle
If \(\mathrm{P}\left(\frac{\pi}{3}\right)\) and \(\mathrm{Q}\left(\frac{2 \pi}{3}\right)\) represent two points on the circle \(x^2+y^2-4 x+6 y-12=0\) in parametric form, then the length of the chord PQ is
- A \(4 \sqrt{3}\)
- B \(5\)
- C \(5 \sqrt{2}\)
- D \(13\)
Answer & Solution
Correct Answer
(B) \(5\)
Step-by-step Solution
Detailed explanation
Given equation of circle \(\begin{aligned} & x^2+y^2-4 x+6 y-12=0 \\ & \Rightarrow(x-2)^2+(y+3)^2=5^2 \end{aligned}\) so parametric coordinate \(\equiv 2+5 \cos \theta,-3+5 \sin \theta\) ) Now, for point…
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