1.

Let angleA=23^(@), angleB=75^(@) and angleC=82^(@) be the angles of DeltaABC. The incircle of DeltaABC touches the sides BC, CA, AB at points D, E, F respectively. Let r', r_(1)^(') respectively be the inradius, exradius opposite to vertex D of DeltaDEF and r be inradiusof DeltaABC, then Q.(r')/(r)=

Answer»

`"sin"(A)/(2)+"sin"(B)/(2)+"sin"(C )/(2)-1`
`1-"sin"(A)/(2)+"sin"(B)/(2)+"sin"(C )/(2)`
`"COS"(A)/(2)+"cos"(B)/(2)+"cos"(C )/(2)-1`
`1-"cos"(A)/(2)+"cos"(B)/(2)+"cos"(C )/(2)`

Answer :A


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