Ask a Doubt
Request a call back

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

CBSE Class 10 Answered

find the equation of locus of p which distance is A:B in ratio 2:3
Asked by lohitaashw.neerella | 30 Jun, 2022, 21:22: PM
answered-by-expert Expert Answer
Question: Find the equation of locus of P, if the ratio of the distance from P to (5,−4) and (7,6) is 2:3.
Solution:
Let P(x, y), A(5,−4) and B(7,6)
Distance space of space straight P space from space left parenthesis 5 comma space minus 4 right parenthesis space equals square root of open parentheses straight x minus 5 close parentheses squared plus left parenthesis straight y plus 4 right parenthesis squared end root Distance space of space straight P space from space left parenthesis 7 comma space 6 right parenthesis space equals square root of open parentheses straight x minus 7 close parentheses squared plus left parenthesis straight y minus 6 right parenthesis squared end root Since comma space AP colon PB equals 2 colon 3 rightwards double arrow fraction numerator square root of open parentheses straight x minus 5 close parentheses squared plus left parenthesis straight y plus 4 right parenthesis squared end root over denominator square root of open parentheses straight x minus 7 close parentheses squared plus left parenthesis straight y minus 6 right parenthesis squared end root end fraction equals 2 over 3 rightwards double arrow 9 left parenthesis straight x minus 5 right parenthesis squared plus 9 left parenthesis straight y plus 4 right parenthesis squared equals 4 left parenthesis straight x minus 7 right parenthesis squared plus 4 left parenthesis straight y minus 6 right parenthesis squared space rightwards double arrow 9 straight x squared minus 90 straight x plus 225 plus 9 straight y squared plus 72 straight y plus 144 equals 4 straight x squared minus 56 straight x plus 196 plus 4 straight y squared plus 144 minus 48 straight y space rightwards double arrow 5 straight x squared plus 5 straight y squared minus 34 straight x plus 120 straight y plus 31 equals 0
Answered by Renu Varma | 04 Jul, 2022, 10:52: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
find the distance between the points (-5,3) and (8,-2)
Asked by anubhavhusdak | 15 Sep, 2024, 19:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Point P divides the line segment joining the points A(2,1) and B(5,-8) such that AP/AB = 1/3. If the P lies on the 2x-y+K=0. Find value of K
Asked by devangsrivastav6 | 05 Aug, 2024, 21:55: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
The distance of the point (5,-2) from x-axis will be :-
Asked by pathakvaishnavi9139 | 23 Mar, 2024, 10:45: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
find the point on the y-axis which equidistant from (4,1)and (-3,5)
Asked by jdharmendra097 | 21 Feb, 2024, 20:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
assumes that is unit is 1 km to answer the following question the coordinates given below are given from a base station xyz airport find the distance between two aeroplan in kilometre which are at location A and B If a line on the y- axis and has an ordinate 1.5 will B lines on the x axis and has and abscissa 0.5 ..
Asked by namansinghnamansinghdelhi | 22 Dec, 2023, 22:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
2+2
Asked by kabitamula124 | 20 Dec, 2023, 23:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
at what point the origin be shifted so that the point 3 2 are seen the position at -34
Asked by sufibadole08 | 19 Nov, 2023, 09:13: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
solve a question for me. length breath and height of a cuboidal room are 6.15m ,4.25m,and 3.15m.Find the length of the longest rod required to measure each of the length breath and height of the room completel [exactly].Also find how many times we will use this rod of longest length to measure length,breath and height.
Asked by d17896354 | 29 Sep, 2023, 06:25: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
plz solve both parts dear experts :
question image
Asked by savitamahajan202 | 02 Jan, 2023, 11:04: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
find the equation of locus of p which distance is A:B in ratio 2:3
Asked by lohitaashw.neerella | 30 Jun, 2022, 21:22: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt