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00:00 - 00:59 | elections welcome to doubtnut the question is find the locus of a point whose distance from x axis is twice the distance from the point 1 - 12 so let the point be let the point P is a b and c and the distance from x axis is distance from x axis and x axis is Album album will be equal to root of p square + c square and the distance from point 1 - 12 so cal distance from one distance from 1 - 12 is |

01:00 - 01:59 | equal to root of -1 to the whole square A minus 12 the whole square + b + 12 whole square + c minus 2 to the whole square toe in the question the given is L1 is equal to price of Alto because the distance from x axis is Toys distance from point 1 - 120 and 1 is equal to Toys of and value of k is root of B square + c square and toys of L2 will be to X root a -1 to the whole square B minus 12 the Holistic therapy + 12 the whole square and C - 22 the whole square so let's square to the |

02:00 - 02:59 | outside so b square + c square equal to 4 x minus 12 the whole square b + 12 the whole square and C - 22 the whole square let solve it further so what we are getting is B square + c square equal to 4 x square + 1 - 2A + b square + 1 + 2 b + c square + 4 - 4 so in the next step for a square I am taking our chest to the four square and writing it's like that for a square + b square |

03:00 - 03:59 | plus 4 c square minus 2 a so it will - 8 - 8 and it is plus 2 we do it will photos 8b and -4 since it will -16 c and 4 + 1 + 16 16 16 24 and it will take to Archer so it will minus b square minus C square so what we are getting is next step is square + 3 X square + 3 x square - 8 x + 8 b - 16 C + 24 is equal to zero is our locus of point P coming |

04:00 - 04:59 | if we put a in the place of A B and C to the xyz to put bacl2 the xyz so what we love our locus coming is 4 x square + 3 y square + 3 x square - 8 x + 8 Y - 16 Z + 24 equal to zero this is our answer this is our final answer thank you |