The locus of the centre of the circle for which one end of the diameter is (3,3) while the other end lies on the line x+y=4.

2 years ago

Share

Answers : (1)

                    

let (h,k) be the centre of the circle and other end of diameter be (x1,y1).


h= (x1+3)/2      and        k= (y1+3)/2


or, x1=2h-3       and        y1=2k-3


but (x1,y1) lie on x+y=4,


(2h-3)+(2k-3)=4


or, h+k=5


for locus, replace (h,k) by (x,y)..


thus, locus is  x+y=5


 

2 years ago

Post Your Answer

More Questions On Analytical Geometry

Ask Experts

Have any Question? Ask Experts
Post Question
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details

More Questions On Analytical Geometry

View all Questions »