If the plane $7x + 11y + 13 z = 3003$ me

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

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

Options:

(143, 91, 77)

(143, 77, 91)

(91, 143, 77)

(143, 66, 91)

Correct Answer:

(143, 91, 77)

Explanation:

Given plane meets the coordinates axes at A(429, 0, 0), B(0, 273, 0) and C(0, 0, 231).

So, the coordinates of the centroid of ΔABC are

$\left(\frac{429}{3}, \frac{273}{3}, \frac{231}{3}\right) $ i.e. (143, 91, 77).