Published by:
CGP EDU Academic Team
Published on: August 14, 2026
O is the circumcentre of the triangle ABC and R 1 , R 2 , R 3 are the radii of the circumcircles of the triangles OBC, OCA and OAB respectively. Then
is equal to-
Text Solution
Verified by ExpertsThe correct answer is:
B
We know that R = 

Δ 1 = Area of Δ OBC
[ Δ 2 = Area of Δ OCA, Δ 3 = area of Δ OAB]
R 1 =
⇒
= 
Similarly,
=
,
= 
∴
+
+
=
( Δ 1 + Δ 2 + Δ 3 )
=
=
=
.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Let ABC be a triangle with ∠ A = 45 0 . Let P be a point on side BC with PB = 3 & PC = 5. If O is c…
If the diameter of an ex-circle be equal to the perimeter of the triangle then the triangle is-
<p>A circle touches two of the smaller sides of a Δ ABC (a < b < c) and has its centre on the…
The radii r 1 , r 2 , r 3 of escribed circles of the triangle ABC are in H.P. If its area is 24 sq.…
If a quadrilateral with sides length a, b, c, d can be inscribed in one circle and circum scribed a…
If the sides of the triangle are 5K, 6K, 5K and radius of
incircle is 6 then value of K is equal to…