Circle And System Of Circles Question 111
Question: ABC is a triangle in which angle C is a right angle. If the coordinates of A and B be (-3, 4) and (3,-4) respectively, then the equation of the circumcircle of triangle ABC is
Options:
A) $ x^{2}+y^{2}-6x+8y=0 $
B) $ x^{2}+y^{2}=25 $
C) $ x^{2}+y^{2}-3x+4y+5=0 $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
AB must be diameter because semi-circle subtends right angle to circumference. Therefore, find the equation of circle as the line joining the points $ A(-3,\ 4) $ and $ B(3,\ -4) $ as diameter.
BETA
