Find the locus of P(x,y) which moves suc...

Find the locus of P(x,y) which moves such that its distances from A(5,-4),B(7,6) are in the ratio 2:3.

Answer

Step by step text solution for Find the locus of P(x,y) which moves such that its distances from A(5,-4),B(7,6) are in the ratio 2:3. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Topper's Solved these Questions

IPE:MARCH-2014
SRISIRI PUBLICATION|Exercise LAQ|7 Videos
IPE:MARCH-2014
SRISIRI PUBLICATION|Exercise LAQ|7 Videos
IPE:MARCH 2013
SRISIRI PUBLICATION|Exercise LAQS|6 Videos
IPE:MARCH-2015 (AP)
SRISIRI PUBLICATION|Exercise IPE:MARCH-2015(AP) MATHS-1B|22 Videos

The locus of P ( x , y ) such that its distance from A ( 0 , 0 ) is less then 5 units is

` x ^ 2 + y^ 2 lt 5 `

` x ^ 2 + y ^ 2 lt 10 `

` x ^ 2 + y ^ 2 lt 25 `

` x ^ 2 + y^ 2 lt 20 `

The locus of a point P such that distances from P to the points (2,3,5),(1,2,-1) are in the ratio 5 : 2 is

`21x^2+21y^2+21z^(2)-34x-76y+90z-2=0`

`21x^2-21y^2+21z^(2)-34x-76y+90z-2=0`

`21x^2+21y^2+21z^(2)-34x+76y+90z+2=0`

`21x^2-21y^2-21z^(2)-34x-76y+90z-2=0`

The locus of a point which is at a distance of 5 unit from (2,1,-3) is

`x^2+y^2+z^2+2x+4z+5=0`

`x^2+y^2+z^2+2x-4z-20=0`

`x^2+y^2+z^2-2x-4z+5=0`

`x^2+y^2+z^2-4x-2y+6z-11=0`