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Question

Assertion :In a ABC, if a<b<c and r is inradius and r1,r2,r3 are the axradii opposite to angle A,B,C respectively, then r<r1<r2<r3 Reason: ABC,r1r2+r2r3+r3r1=r1r2r3r

A
Both the statements are TRUE and reason is the correct expansion of assertion
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B
Both the statements are TRUE but reason is NOT the correct explanation of assertion
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C
Assertion is TRUE and reason is FALSE
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D
Assertion is FALSE and reason is TRUE
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Solution

The correct option is B Both the statements are TRUE but reason is NOT the correct explanation of assertion
Assertion: a<b<c

s>sa>sb>sc

Δs<Δsa<Δsb<Δsc

r<r1<r2<r3

Reason: r=Δs,r1=Δsa,r2=Δsb,r3=Δsc

1r1+1r2+1r3=sΔ=1rr1r2+r2r3+r3r1=r1r2r3r

Assertion and reason both are correct but reason is not correct explanation os assertion.

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