ABC is a triangle in which angle C is a right angle. If the coord…

MCQ

$ABC$ 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

A
${x^2} + {y^2} - 6x + 8y = 0$
✓
${x^2} + {y^2} = 25$
C
${x^2} + {y^2} - 3x + 4y + 5 = 0$
D
None of these

✓

Answer

Correct option: B.

${x^2} + {y^2} = 25$

b
(b) $AB$ 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.

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