JEE Main2006MathematicsCircleActual
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 2 3 at its centre is
Options
- Ax^2+y^2= 3 -
- Bx^2+y^2=1
- Cx^2+y^2= 27 4
- Dx^2+y^2= 9 4
Correct answer
D. x^2+y^2= 9 4
Step-by-step solution
3 = h^2+k^2 3 h^2+k^2= 9 4