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प्रश्न
If `bb(a/b = 2/3)` then find the value of the following expression.
`[ 7b - 4a]/[ 7b + 4a ]`
उत्तर
`a/b = 2/3`
Applying invertendo, we get
`b/a = 3/2`
= `[7b]/[ 4a] = [ 7 xx 3]/[ 4 xx 2] = 21/8`
Applying componendo and dividendo, we get
=`[ 7b + 4a ]/[ 7b - 4a ] = [ 21 + 8 ]/[ 21 - 8]`
=`[ 7b + 4a ]/[ 7b - 4a ] = 29/13`
Applying invertendo, we get
=`[ 7b - 4a ]/[ 7b + 4a ] = 13/29`
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