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Q.

In ABC,B=π3 and C=π4 Let D divide BC internally in the ratio 1: 3 then sinBADsinCAD=

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a

16

b

13

c

13

d

23

answer is A.

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Detailed Solution

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Applying sin rule in ABD
Question Image
sinπ3AD=sinBADBD----(1)
 Again from ACD
sinπ4AD=sinCADDC(2)(1)(2)sinπ3sinπ4=DCBDsinBADsinCAD32×21=31sinBADsinCADsinBADsinCAD=16

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In △ABC,∠B=π3 and ∠C=π4 Let D divide BC internally in the ratio 1: 3 then sin⁡∠BADsin⁡∠CAD=