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A(x1,y1),B(x2,y2),C(x3,y3) are the verti...

`A(x_1,y_1),B(x_2,y_2),C(x_3,y_3)` are the vertices of a triangle ABC. lx+my+n=0 is an equation of the line L.
Answer the following questions based on above passage :
If the centroid of the triangle ABC is at the origin and algebraic sum of the length of the perpendiculars from the vertices of the triangle ABC on the line L is equal to 1 then sum of the squares of the intercepts made by L on the coordinate axes is equal to

A

0

B

4

C

9

D

16

Text Solution

Verified by Experts

The correct Answer is:
C
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