1.

Let ABC be a triangle inscribed in a circle and letl_(a)=(m_(a))/(M_(a)), l_(b)=(m_(b))/(M_(b)), l_(c )=(m_(c ))/(M_(c )) where m_(a), m_(b), m_(c ) are the lengthsof the angle bisectors of angles A, B and C respectively , internal to the triangle and M_(a), M_(b) and M_(c ) are the lengths of these internalangle bisectors extended until they meet the circumcircle. Q. l_(a) equals :

Answer»

`(sinA)/(SIN(B+(A)/(2)))`
`(sinBsinC)/(sin^(2)((B+C)/(2)))`
`(sinBsinC)/(sin^(2)(B+(A)/(2)))`
`(sinB+sinC)/(sin^(2)(B+(A)/(2)))`

Answer :C


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