Q. 135.0( 2 Votes )

If a circle

Answer :

Given that the circle passes through the points O(0,0), A(a,0) and B(0,b).



Let us first find the length of the sides of the triangle formed by the points OAB.


We know that distance between two points (x1,y1) and (x2,y2) is .




OA = |a| .....(1)




OB = |b| .....(2)



..... (3)


Now consider OA2 + OB2,


OA2 + OB2 = (|a|)2 + (|b|)2


OA2 + OB2 = a2 + b2



OA2 + OB2 = AB2


We got ABC is a right angled triangle with AB as the hypotenuse.


We know that the circumcentre of a right-angled triangle is the midpoint of the hypotenuse.


Centre =


Centre =


The coordinates of the centre is .

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

A parabolic refleRS Aggarwal - Mathematics

A beam is supportRS Aggarwal - Mathematics

The towers of briRS Aggarwal - Mathematics