First slide

Planes in 3D

Question

If the plane $7 x + 11 y + 13 z = 3003$ meets the coordinate axes in A, B, C then the centroid of the $Δ A B C$ is

Moderate

A

$(143, 91, 77)$
B

$(143, 77, 91)$
C

$(91, 143, 77)$
D

$(143, 66, 91)$

Solution

The plane $7 x + 11 y + 13 z = 3003$ meets the coordinate axes in $A (429, 0, 0),$ $B (0, 273, 0),$ $C (0, 0, 231)$ .
Centroid of $Δ A B C$ is $(\frac{429}{3}, \frac{273}{3}, \frac{231}{3})$ $= (143, 91, 77)$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App