JEE Main & Advanced
Mathematics
Straight Line
Question Bank
Self Evaluation Test - Straight Lines & Pair Striaght Lines
question_answer
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
A)\[3x-4y+2=0\]
B)\[4x+3y+7=0\]
C)\[6x-8y+7=0\]
D)None of these
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 \[6x-8y+7=0.\]