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Most Important Selected Qs for JEE AdvancedMathematicsCircle

Consider two circles of radii r₁ and r₂ passing through vertex A of A B C and touching side B C at points B and C respectively. If a=5 and A=30^ , then r₁ r₂ is equal to:

Correct answer

5

Step-by-step solution

In A C₁ C₂ A= r₁^2+r₂^2- (C₁ C₂ )^2 2 r₁ r₂ = 60^ r₁^2+r₂^2- (C₁ C₂ )^2=r₁ r₂ r₁ r₂=25 ...(1) r₁ r₂=25 ...

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