Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If in Δ ABC, the line joining the circum-centre and the in-
centre is parallel to BC, then-
Text Solution
Verified by ExpertsThe correct answer is:
C
Let S be the circum-centre and I, the in-centre of Δ ABC. Since SI || BC, IN = SM ⇒ SM = r,
Also SB = R and BSM = A!
∴ from Δ SBM, cos A = 
= 
⇒ r = R cos A
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…