Published by:
CGP EDU Academic Team
Published on: August 14, 2026
STATEMENT-1 : If R be the circumradius of a Δ ABC, then circumradius of its excentral ΔΙ 1 Ι 2 Ι 3 is 2R.
STATEMENT-2 : If circumradius of a triangle be R, then circumradius of its pedal triangle is
.
Text Solution
Verified by ExpertsThe correct answer is:
A

Ι 1 Ι 2 = 4R cos
if we apply Sine-Rule in Δ Ι 1 Ι 2 Ι 3 , then
2 R ex =
= 
= 
2R ex = 4R R ex = 2R
∴ Δ ABC is pedal triangle of Δ I 1 I 2 I 3
∴ statement - 1 and statement - 2 both are correct and statement -2 also explains Statement - 1
──────────────────────────────────────────────────────────────────────────────────────────
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
If α , β , γ are the respective altitudes of a triangle ABC, prove that
(i) + + =
(ii) =
If in an acute angled Δ ABC, line joining the circumcentre and orthocentre is parallel to side AC, …
A regular hexagon & a regular dodecagon are inscribed in the same circle. If the side of the dodeca…
If D is the mid point of CA in triangle ABC and Δ is the area of triangle, then show that
tan ( ∠ A…
If in a triangle ABC, the line joining the circumcentre and incentre is parallel to BC, then cos B…
In a Δ ABC, if AB = 5 cm, BC = 13 cm and CA = 12 cm, then the distance of vertex ‘A’ from the side …