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in Mathematics by (69.4k points)

Let A(x1 , y1), B(x2 , y2) C(x3 , y3) be vertices of triangle ABC with BC = a, AB = c, AC = b. If algebraic sum of perpendicular distances from L (3ax1/ a + b + c , 3cy3/ a + b + c) , M (3bx2/ a + b + c , 3by2/ a + b + c), N (3cx3/ a + b + c , 3cy3/ a + b + c) to a variable line is zero then all such lines passes through 

(A)  orthocentre of  ΔABC 

(B)  centroid of  ΔABC 

(C)  circumcentre of  ΔABC

(D)  in centre of  ΔABC

1 Answer

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Best answer

Correct option (D)  in centre of  ΔABC

Explanation:

Let variable line be lx + my + n = 0

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