Straight Line Question 228

The line $ L_1:4x+3y-12=0 $ intersects the x- and y-axis at A and B, respectively. A variable line perpendicular to $ L_1 $ intersects the x- and the y-axis at Q. The circumcenter of triangle ABQ is

Options:

A) $ 3x-4y+2=0 $

B) $ 4x+3y+7=0 $

C) $ 6x-8y+7=0 $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] Clearly, the circumcenter of triangle ABQ will lie on the perpendicular bisector of line AB, Now, the equation of perpendicular bisector of line AB is $ 3x-4y+7/2=0. $ Hence, the locus of circumcenter is $ 6x-8y+7=0. $



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