Let C be the circle with centre (0,0) and radius 3 units. The equation of the locus of the mid points of the chords of the circle C that subtend an angle of 2π3 at its center is

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

x2+y2=32

x2+y2=1

x2+y2=274

x2+y2=94

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Let M(h,k) be the mid-point of chord AB where ∠ACB=2π3∴∠ACM=π3 Also CM=3cosπ3=32⇒h2+k2=32⇒h2+k2=94∴ Locus of (h,k) is x2+y2=94

Watch 3-min video & get full concept clarity