If the distance from 'P' to the points (...

If the distance from 'P' to the points (2,3) and (2,-3) are in the ratio 2:3, then find the equation of the locus of P.

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If the distances from P to the points ( 3, 4 ) , ( - 3, 4 ) are in the ratio 3 : 2, then the locus of P is

` 5 x ^ 2 + 5y ^ 2 - 12 x - 86 y + 17 = 0 `

` 5 x ^ 2 + 5y ^ 2 - 34 x + 120 y + 29 = 0`

` 5 x ^ 2 + 5y ^ 2 - 5x + y + 14 = 0 `

`5 x ^ 2 + 5y ^ 2 + 78 x - 40 y + 125 = 0 `

I : If the distances from P to the points ( 3,4), ( - 3, 4) are in the ratio 3 : 2 , then the locus of P is 5 x ^ 2 + 5y ^ 2 + 78 x - 40 y + 125 = 0 II : A ( -9, 0) , B( -1, 0) are two points. If P is a point such that P A : PB = 3 : 1 , then the locus of P is x ^ 2 + y^ 2 = 9

only I is true

only II is true

both I and II are true

neither I nor II are true

The distance between the points (-1,2,3) and P is 13. Then P =

`(2,6,-9)`

`(-2,6,9)`

(2 , 6, 9)

`(-2,-6,-9)`