Circle 1 Question 8
8. Let be a chord of the circle subtending a right angle at the centre. Then, the locus of the centroid of the as moves on the circle, is
(a) a parabola
(b) a circle
(c) an ellipse
(d) a pair of straight lines
Show Answer
Answer:
Correct Answer: 8. (a)
Solution:
- Choosing
as -axis, and any point on the circle is . If is the centroid of , then
Hence, locus of