Question 51

In the given figure, chords AB and CD are intersecting each other at point L. Find the length of AB.

Solution

LD and LA are the secants to the circle from the external point L

$$=$$> LD.LC = LA.LB

$$=$$> (LC+CD).LC = (LB+AB).LB

$$=$$> (6+11)6 = (4+x)4

$$=$$> 51 = 2x + 8

$$=$$> 2x = 43

$$=$$> x = 21.5 cm

$$\therefore\ $$Length of AB = x = 21.5 cm

Hence, the correct answer is Option B

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