SATHEE: Straight Line Question 228

Straight Line Question 228

Question: 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. the circumventer 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 circumventer 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 circumventer is $ 6x-8y+7=0. $

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Straight Line Question 228

Question: 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. the circumventer of triangle ABQ is

Options:

Answer:

Solution:

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