Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

Find the coordinates of a point whose distance from (3,5) is 5 and that from (0,1) is 10 units.
Asked by Somesh Meena | 07 Feb, 2014, 06:36: PM
answered-by-expert Expert Answer

Dear Student,

Please check your question if it is correct. The following is the solution provided but it needs some more information to complete this soluyion.

Let the coordinates of the point be (x, y)

Now, distance of (x, y) from the point (3, 5) is 5 units.

rightwards double arrow left parenthesis x minus 3 right parenthesis squared plus left parenthesis y minus 5 right parenthesis squared equals 5 squared rightwards double arrow x squared minus 6 x plus 9 plus y squared minus 10 y plus 25 equals 25

rightwards double arrow x squared plus y squared minus 6 x minus 10 y plus 9 equals 0............(1)

Also, distance of (x, y) from the point (0, 1) is 10 units.

rightwards double arrow left parenthesis x minus 0 right parenthesis squared plus left parenthesis y minus 1 right parenthesis squared equals 10 squared rightwards double arrow x squared plus y squared minus 2 y plus 1 equals 100

rightwards double arrow x squared plus y squared minus 2 y minus 99 equals 0...........(2)

Subtracting (2) from (1), we get

x squared plus y squared minus 2 y minus 99 minus x squared minus y squared plus 6 x plus 10 y minus 9 equals 0

rightwards double arrow 6 x plus 8 y minus 108 equals 0 rightwards double arrow 3 x plus 4 y equals 54..... left parenthesis 3 right parenthesis

Topper's Team


 

Let the coordinates of the point be (x, y)

Distance of (x,y) from the point (3,5) is 5 units.

http://www.meritnation.com/img/shared/discuss_editlive/4135575/2012_12_11_11_38_14/mathmlequation6601093341314430375.png 

and distance of (x,y) from the point (0,1) is 10 units.

http://www.meritnation.com/img/shared/discuss_editlive/4135575/2012_12_11_11_38_14/mathmlequation1127818620085897262.png 

subtracting equation (i) from (ii):

http://www.meritnation.com/img/shared/discuss_editlive/4135575/2012_12_11_11_38_14/mathmlequation8639897569133385796.png 

since 3x=2y put this in (iii)

http://www.meritnation.com/img/shared/discuss_editlive/4135575/2012_12_11_11_38_14/mathmlequation372960957334354787.png 

Answered by | 07 Feb, 2014, 09:37: PM
CBSE 10 - Maths
Asked by pathakvaishnavi9139 | 23 Mar, 2024, 10:45: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
a
Asked by Chavvatejdeepreddy | 27 Feb, 2024, 06:43: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by jdharmendra097 | 21 Feb, 2024, 08:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by raj.mehta2006 | 21 Feb, 2024, 11:23: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by lakshmidasari280 | 29 Jan, 2024, 07:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
2+2
Asked by kabitamula124 | 20 Dec, 2023, 11:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by kavitayadav9001419917 | 23 Nov, 2023, 08:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by sufibadole08 | 19 Nov, 2023, 09:13: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by kadaramyadav | 02 Nov, 2023, 11:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×