A plane meet the co-ordinate axes in $A, B, C$ such that the centroid of triangle $A B C$ in the point $α, β, γ$ . If the equation of the plane be $\frac{x}{α} + \frac{y}{β} + \frac{Z}{γ} = k$ , then $k =$ ?

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

α^{2} + β^{2} + r^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $3$

Since, ( $α, β, γ$ )is the centroid, Hence, the intercepts along the axes are ( $3 α, 3 β, 3 γ$ )

Hence, the equation of the plane is $\frac{x}{3 α} + \frac{y}{3 β} + \frac{z}{3 γ} = 1$

Or, $k = 3$

Suggest Corrections

Similar questions

△

(α, β, γ)

\frac{x}{α} + \frac{y}{β} + \frac{z}{γ} = 3

(α, β, γ)

Δ A B C

A, B, C

(α, β, γ)

A B C

A plane meets the coordinate axes at points A, B, C and $(α, β, γ)$ is the centroid of the triangle ABC. Then the equation of the plane is

Join BYJU'S Learning Program