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***6.401. 2). B12. -3) and (-2, 3) are three points.A point "p" moves such that PA+PBP-2PCShow that the equation to the locus P is |
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Answer» Let p=(x,y) be a point on locus(x-1)^2+(y-2)^2+(x-2)^2+(y+3)^2=2[(x+2)^2+(y-3)^2]=x^2-2x-1+y^2-4y-4+x^2-4x+4+y^2+6y+9=2[x^2+4x+4+y^2-6y+9]=2x^2+2y^2-6x+2y+18=2x^2+2y^2+8x-12y+26=8x-12y+26+6x-2y-18=0=14x-14y+8=02(7x-7y+4)=0 locus of p(x,y) is 7x-7y+4=0 |
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