If a plane meets the coordinate axes at A, B and C in such a way that the centroid of triangle ABC is at the point (1 ,2 ,3 ) then the equation of the plane is

Question

Accepted Answer

Correct answer: B. (b) : Let A (a ,0 ,0 ) ,B (0 ,b ,0 ) and C (0 ,0 ,c ) ∴ (1 ,2 ,3 )= ( a3 , b3 , c3 ) ⇒a=3 ,b=6 ,c=9 ∴ Equation of plane is x3+ y6+ z9=1

$If a plane meets the coordinate axes at A, B and C in such a way that the centroid of triangle ABC is at the point (1, 2, 3) then the equation of the plane is$

Solution

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