0

Guest

Courses New

Let C be the circle with centre (0,0) and radius 3 units. the equation of locus of the mid-pts of the chords of the circle that subtend and angleof 120 deg at its center is?

Let C be the circle with centre (0,0) and radius 3 units. the equation of locus of the mid-pts of the chords of the circle that subtend and angleof 120 deg at its center is?

Grade:11

1 Answers

alphaa
13 Points
6 years ago
Consider chord AC join OA and  OC . Draw perpendicular from O TO B( Mid point of  AC). Let coordinates of B be (h,k). The Angle AOC is 120 deg. Thus angle AOB is 60 deg. Therefore,
   Cos 60= OB/OC. 
   1/2= √h^2 + K^2/3
By solving and replacing h,k by x,y we get,
x^2 + y2 = 9/4
 
 
    

Think You Can Provide A Better Answer ?

Other Related Questions on Analytical Geometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More