
∵C1P=5
{C}_{2}P=12 & \angle {C}_{1}P{C}_{2}={90}^{o}
∴C1C2=13
∴ΔCC2P
tanθ=512⇒sinθ=1312
C1C2 biscets the PQ at R & C1C2⊥PQ
in ΔPC1R,sinθ=5PR
⇒1312=5PR⇒PR=1360
& PQ=2PR=13120
If the angle of intersection at a point where the two circles with radii 5cm and 12cm intersect is 90∘, then the length (in cm) of their common chord is:
Held on 12 Apr 2019 · Verified 6 Jul 2026.
13120
1360
513
213
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