Geometry

Question

Let ABCD be a rectangle with AB=a and BC=b.Suppose r₁ is the radius of the circle passing through A and B and touching CD ; r₂ is the radius of the circle passing through B and C and touching AD then prove that

r₁=a²+4b²/8b and r₂=b³+4a²b/8ab

Badiuddin askIITians.ismu Expert · Accepted Answer

Dear sindhuja in triangle AOD AO2 =AD2 +OD2 r12 = a2/4 + (b-r1)2 r12 = a2/4 + b2 +r12 -2br1 r1=a2+4b2/8b Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation. All the best.Regards,Askiitians ExpertsBadiuddin

Differential Calculus> Geometry...

Let ABCD be a rectangle with AB=a and BC=b.Suppose r₁ is the radius of the circle passing through A and B and touching CD ; r₂ is the radius of the circle passing through B and C and touching AD then prove that

r₁=a²+4b²/8b and r₂=b³+4a²b/8ab

sindhuja P , 15 Years ago

Badiuddin askIITians.ismu Expert

LIVE ONLINE CLASSES

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differential calculus

Differential Calculus> Geometry...

Let ABCD be a rectangle with AB=a and BC=b.Suppose r1 is the radius of the circle passing through A and B and touching CD ; r2 is the radius of the circle passing through B and C and touching AD then prove that r1=a2+4b2/8b and r2=b3+4a2b/8ab

sindhuja P , 15 Years ago

Badiuddin askIITians.ismu Expert

LIVE ONLINE CLASSES

Other Related Questions on differential calculus

the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?

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Let ABCD be a rectangle with AB=a and BC=b.Suppose r₁ is the radius of the circle passing through A and B and touching CD ; r₂ is the radius of the circle passing through B and C and touching AD then prove that

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Please give me the solution of this problem.

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