Saved Bookmarks
| 1. |
A point is such that its distance from the point (3,0) is twice its distance from the point (-3,0). Find the equation of the locus. |
Answer» SOLUTION : Given that `barPB = 2barPB` or, `sqrt((X-3)^2 + y^2) = 2sqrt((x+3)^2 + y^2) or , `x^2 + 9 - 6x + y^2` =`4(x^2 + 9 + 6x + y^2)` = `4x^2 + 36 + 24X + 4y^2` or, `3x^2 + 3y^2 + 30x + 27 = 0` or, `x^2 + y^2 + 10x + 9 = 0` which is the locus of the point P(x,y). |
|