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Let ABC be a triangle having O and I as ...

Let ABC be a triangle having O and I as its circumcentre and incentre, respectively. If R and r are the circumradius and the inradius respectively, then prove that (IO) 2 =R 2 −2Rr. Further show that the triangle BIO is right angled triangle if and only if b is the arithmetic mean of a and c.

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VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-Level - 2
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