Problem: in a triangle abc , ab = 6 , bc = 8 and ac = 10 . a perpendicular dropped from b , meets the side ac at d . a circle of radius bd ( with centre b ) is drawn . if the circle cuts ab and bc at p and q respectively , then ap : qc is equal to 
Options: ['a ) 1 : 1', 'b ) 3 : 2', 'c ) 4 : 1', 'd ) 3 : 8', 'e ) 2 : 5']
d