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a variable line L is drawn through O(0,0...

a variable line `L` is drawn through `O(0,0)` to meet the lines `L_1:y-x-10=0` and `L_2:y-x-20=0` at point `A&B` respectively .A point `P` is taken on line `L` the
`(1) ` if `2/(OP)=1/(OA)+1/(OB)` then locus of `P` is
`(2)` if `(OP)^2=(OA)*(OB)` then locus of `P` is
`(3)` if `1/(OP)^2=1/(OA)^2+1/(OB)^2` then locus of point `P` is:

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