﻿ The algebraic sum of the perpendicular distances from A(x1, y1), B(x2,y2) and C(x3, y3) to a variable line is zero, then the line passes through: : Kaysons Education

# The Algebraic Sum Of The Perpendicular Distances From A(x1, y1), B(x2,y2) And C(x3, y3) To A Variable Line Is Zero, Then The Line Passes Through:

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## Question

### Solution

Correct option is

The centroid Δ ABC

Let Ax + By + C = 0 be the equation of line.

[where (xgyg) ≡ centroid of Δ ABC]

Hence, line passes through the centroid of triangle.

#### SIMILAR QUESTIONS

Q1

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Q3

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Q4

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Q7

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Q8

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Q9

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Q10

If A (cos α, sin α), B (sin α, –cos α), C (1, 2) are the vertices of a ΔABC, then as α varies the locus of its centroid is: