Q.

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

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya

a

x2+y2=32

b

x2+y2=1

c

x2+y2=274

d

x2+y2=94

answer is D.

(Unlock A.I Detailed Solution for FREE)

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
Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Online Course for IIT JEE
Best Online Course for NEET
Best Online Course for CBSE
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Online Course for IIT JEE
Best Online Course for NEET
Best Online Course for CBSE
whats app icon
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