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 circum circle of triangle ABC is

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
AB must be diameter because semi-circle subtends right angle to circumference. Therefore,the equation of circle as the line joining the points A(–3, 4) and B (3, –4) as diameter is (x-3)(x+3)+(y-4)(y+4)=0
$x^{2} + y^{2} = 25$

Suggest Corrections

Similar questions

x^{2} + y^{2} - 6 x + 12 y + 15 = 0

The equation of the circle concentric with $x^{2} - 3 x + 4 y - c = 0$ and passing through (-1, -2) is

Find the equation of director circle of the circle whose diameters are 2x - 3y + 12 = 0 and x + 4y - 5 = 0 and area is 154 square units.

x^{2} + y^{2} - 6 x - 4 y - 11 = 0

Join BYJU'S Learning Program