2 ब घ क तन ह क ट यर - 2 ba gh ka tan ha ka ta yar

`(a+3c+5e)/(b+d-f)``(3a+3c-5e)/(b+3d-f)``(a+c-e)/(b+d-5f)``(a+3c-5e)/(b+3d-5f)`

Solution : Let`(a)/(b)=(c )/(d)=(e )/(f )=(1)/(2)`
(समय की बचत के लिए विकल्प को देखेंगे )
option:- (d)
`(a+3c-5e)/(b+3d-5f) implies (c )/(d)[((a)/(b)+3-(5e)/(c ))/((b)/(d)+3-(5f)/(d))]`
`implies (c )/(d)=(1)/(2)` (Satisfy)

Solution : `tan (A + B) = sqrt(3)`
`rArr (A + B) = tan 60^(@)`
`rArr A + B = 60^(@)` …(1)
तथा ` tan (A + B) = (1)/(sqrt(3))`
`rArr tan (A - B ) = ta+47n 30^(@) rArr A-B = 30^(@) ` …(2)
समीकरण (1) और (2) को जोड़ने पर
`A + B = 60^(@)`
` (A + B = 30^(@))/(2A = 90^(@))`
`rArr A = 45^(@)`
A का मान समीकरण (1) में रखने पर
` 45^(@) + B = 60^(@) rArr B = 60^(@) - 45^(@) = 15^(@)`
`therefore A = 45^(@) "तथा " B = 15^(@)` .

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