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If the algebraic sum of the perpendicula...

If the algebraic sum of the perpendicular distances from the point (3,1),(-1,2) and (1,3) to a variable line is zero, and `|{:(x^2+1,x+1,x+2),(2x+3,3x+2,x+4),(x+4,4x+3,2x+5):}|=mx^4+nx3+px^2+qx+r`, then the variable line always passes through the point

A

(-m,r)

B

(-r,m)

C

(r,m)

D

(2r,m)

Text Solution

Verified by Experts

The correct Answer is:
C
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