MathematicsMedium249×since 2002Q2555If a variable plane, at a distance of 3 units from the origin, intersects the coordinate axes at A, B and C, then the locus of the centroid of Δ\DeltaΔABC is :A1x2+1y2+1z2=1{1 \over {{x^2}}} + {1 \over {{y^2}}} + {1 \over {{z^2}}} = 1x21+y21+z21=1B1x2+1y2+1z2=3{1 \over {{x^2}}} + {1 \over {{y^2}}} + {1 \over {{z^2}}} = 3x21+y21+z21=3C1x2+1y2+1z2=19{1 \over {{x^2}}} + {1 \over {{y^2}}} + {1 \over {{z^2}}} = {1 \over 9}x21+y21+z21=91D1x2+1y2+1z2=9{1 \over {{x^2}}} + {1 \over {{y^2}}} + {1 \over {{z^2}}} = 9x21+y21+z21=9Check answerSkip