A) 1 : 3
B) 1 : 2
C) 1 : 1
D) 4 : 1
Correct Answer: A
Solution :
Consider \[\Delta BMD\]and \[\Delta DLC\] As \[\angle BMD=\angle DLC=90{}^\circ \] [Each] Also, \[\angle BDM=\angle DCL\] [Corresponding angle] \[\therefore \] \[\Delta BMD\sim \Delta DLC\] \[\therefore \] \[\frac{BD}{DC}=\frac{DM}{LC}=\frac{BM}{DL}\] \[\frac{BD}{DC}=\frac{DM}{LC}=\frac{1}{3}\] \[\therefore \] DM : LC = 1 : 3You need to login to perform this action.
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