Question

Two chords ( A B ) and ( C D ) of a circle intersect at ( E ) such that ( A E=2.4 mathrm{cm} ., mathrm{BE}=3.2 mathrm{cm} ) and ( mathrm{CE}=1.6 mathrm{cm} . ) The length of ( mathrm{DE} )
is
(a) ( 1.6 mathrm{cm} )
(b) ( 3.2 mathrm{cm} )
(c) ( 4.8 mathrm{cm} )
(d) ( 6.4 mathrm{cm} )

MBA Exams

Maths

Solution

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(c) Apply the rule, ( A E times E B=C E times E D ) ( Rightarrow quad 2.4 times 3.2=1.6 times mathrm{ED} )
( therefore quad E D=4.8 mathrm{cm} )

Two chords ( A B ) and ( C D ) of a circle intersect at ( E ) such that ( A E=2.4 mathrm{cm} ., mathrm{BE}=3.2 mathrm{cm} ) and ( mathrm{CE}=1.6 mathrm{cm} . ) The length of ( mathrm{DE} )is(a) ( 1.6 mathrm{cm} )(b) ( 3.2 mathrm{cm} )(c) ( 4.8 mathrm{cm} )(d) ( 6.4 mathrm{cm} )