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Question

It is known that a : b , c : d and e : f are in proportion, which of the following is/are true ?

A
ac = bd
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B
ab = cd
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C
af = eb
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D
cf = ed
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Solution

The correct options are
C af = eb
D cf = ed
a : b , c : d and e : f are in proportion.

ab=cd=ef

Taking the first two ratios, we have,

ab=cd

ad = bc

Taking the first and the last ratio, we have,

ab=ef

af = eb

Taking the second and the last ratio, we have,

cd=ef

cf = ed

It can be seen only options (c) and (d) are true.

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