Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 350 off


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.

4 years ago


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,


or, h+k=5

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

thus, locus is  x+y=5


4 years ago

Post Your Answer

Other Related Questions on Analytical Geometry

If a+b+c=0,then the family of lines 3ax + by + 2c = 0 pass through the fixed point
Dividing the whole eqn. by 2 and comparing with a+b+c = 0 3ax + by + 2c = 0 we get, 3a/2 x + b/2 y + c = 0 3x/2 = 1 x = 2/3 and y/2 = 1 y = 2. hence (x,y) that is (2/3 , 2) is the fixed...
2017 years ago
if the coordinate of variable P be (cos@ sin@,sin@-cos@) where @ is the parameter, then the locus of point P is
take h =cos@ sin@ and k =sin@-cos@ now u have to eliminate @ from both the eqns that’s it Thanks
Nishant Vora 2 months ago
Find the equation of line passing through (2,2) and having intercepts whose sum is -1
let the eqn. of the line is: x/a + y/b = 1 now pass it through (2,2) coordinates. 2/a + 2/b = 1......(1) and given a+b = 1.............(2) solve these two eqns. and get the valiues of a and ...
Vikas TU 2 months ago
What is the parallelogram law of two vectors and what is definations of dot product and cross product
Acccording to the parallelogram law of vector addition: "If two vector quantities are represented by two adjacent sides or a parallelogram. then the diagonal of parallelogram will be equal...
KALYAN 10 months ago
HELLO PRABHAKAR parallelogram law of vector addition states that when two vectors are represented by two adjacent sides of a parallelogram by direction and magnitude then the resulatant of...
raj 9 months ago
in parallelogram of vectors two vectors are represented by two adjacent sides in parallelogram of vectors the square of the diagonal is equal to squre root of two adjacent sides squares and ...
RAMCHANDRARAO 9 months ago
googlelo photoes remove cheyandi.please what is the way to remove photo from iitians.
first google lo photos ela pettalo chepandi kalavathi garu tharvatha ela remove cheyalo memu chepthamu thondharge chepandi
bunnypriya 6 months ago
this question is only for who works in iit. if you know give answer.thank you for your reply bunnypriya garu.
kalavathi 6 months ago
integrat sqrt(sinx) with limit 0 to pi/2.....................................
Apply By part integeration ----> Let the first function be unity and second one root sinx. integration of square root of sin x dx integration (sin x)^1/2 dx = [{(sin x)^3/2) / (3/2)}* cos x ...
Vikas TU 5 months ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,750 off

Get extra R 350 off

More Questions On Analytical Geometry

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details