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

\frac{x}{1}+\frac{y}{2}+\frac{z}{3}=1

\frac{x}{3}+\frac{y}{6}+\frac{z}{9}=1

\frac{x}{1}+\frac{y}{2}+\frac{z}{3}=\frac{1}{3}

\frac{x}{1}-\frac{y}{2}+\frac{z}{3}=-1

KCET 2021 Math Solved Paper

Question : 3 of 60

Marks: +1, -0

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

x
1
+
y
2
+
z
3
=1
x
3
+
y
6
+
z
9
=1
x
1
+
y
2
+
z
3
=
1
3
x
1
−
y
2
+
z
3
=−1

Validate

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