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
A particle begins at the origin and moves successively, 1 unit to the right, 1/2 unit up, 1/4 unit to the left, 1/8 unit down, 1/16 unit to the right, 1/32 unit up etc.The length of each...
 
 
ans: total displacement in X direction : step-1 : 1 unit right (+ve X direction) step-3 : 1/2 2 unit left (-ve X deirction) step-5: 1/2 4 unit right ( +ve X direction) step-7 : 1/2 6 unit (...
  img
Ajay Verma 6 months ago
 
x coordinate = 1-(1/4)+(1/16)-(1/64)....... y coordinate = (1/2) -(1/8) + (1/32) ......... converge the above two series to get the X and Y as the result of converging coordinate Thanks...
  img
Saurabh Singh 6 months ago
If the lines joining origin and point of intersection of curves ax 2 +2hxy+by 2 +2gx=0 and a1x 2 +2h1xy+b1y 2 +2g1x=0 are mutually perpendicular,then prove that- g(a1+b1)=g1(a+b)
 
 
a petty question on homogenization of equation. ax 2 +2hxy+by 2 +2gx(1)=0 ...1 a1x 2 +2h1xy+b1y 2 = -2g1x ...2 a1x 2 +2h1xy+b1y 2 /(-2g1x)=1 ...3 now replacing 1 in eq 1 by a1x 2 +2h1xy+b1y...
 
Agniva Kolay 26 days ago
if the equation 2x^2 +4xy + 7y^2-12x-2y+t=0 where “t’ is a parameter has exactly one real solution of the form (x,y).Then the sum of (x+y) =?
 
 
Hello student, Please find the answer to your question below Given2x^2 +4xy + 7y^2-12x-2y+t=0 2x 2 +4x(y-3)+7y 2 -2y+t=0 discriminant should be=0 for one solution so 16(y-3) 2 -8(7y 2...
  img
SHAIK AASIF AHAMED 7 days ago
Find the number of selection of r things out of n different things such that none of particular things are selected at a time. (Topic:Permutation And Combination)
 
 
Hello student, Please find the answer to your question below The number of permutations of n dissimilar things taken r at a time when k(< r) particular things always occur is [(n-k)P...
  img
SHAIK AASIF AHAMED 7 days ago
 
Hello student, Please find the answer to your question below The number of permutations of n dissimilar things taken r at a time when k(< r) particular things always occur is [(n-k)P...
  img
SHAIK AASIF AHAMED 7 days ago
please explain fully ….if it has 0/0 form …..then please tell why
 
 
Ans: Hello Student, Please find answer to your question below Since f’’(x) is continuous at x = 0, then f(x) & f’(x) should exist & continuous at x = 0. The limit...
  img
Jitender Singh 21 days ago
View all Questions »