Mining Engineering > GATE 2026 > Numerical Ability - Geometry
Circles C1, C2, and C3, with centers O1, O2, and O3, and radii r1, r2, and r3, respectively, touch each other as shown in the following figure. Given r1 = 2 cm, r2 = 1 cm and the angle ∠O1O3O2 is 90°, r3 = _____ cm.
A
(1/2)(-3 + √17)
B
(1/2)(3 + √17)
C
(1/2)(-2 + √17)
D
(1/2)(-3 + 2√17)

Correct : a

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