Maths Trigonometrical Equations and in Equations, Properties of Triangles, Height and Distance General Single Correct MCQ
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 .

A
STATEMENT-1 is true, STATEMENT- 2 is true and STATEMENT- 2 is correct explanation for
STATEMENT- 1
B
STATEMENT-1 is true, STATEMENT- 2 is true and STATEMENT- 2 is not correct explanation for STATEMENT- 1
C
STATEMENT-1 is true, STATEMENT- 2 is false
D
STATEMENT- 1 is false, STATEMENT- 2 is true

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Text Solution

Verified by Experts
The 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

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