1.

यदि `alpha+beta=90^(@)` और `alpha:beta=2:1,` तो `cosalpha` व `cosbeta` का अनुपात क्या है ?A. `1:sqrt(3)`B. `1:3`C. `1:sqrt(2)`D. `1:2`

Answer» Correct Answer - a
`alpha+beta=90`
and `alpha:beta=2:1`
`2x+x=90^(@)`
`x=30^(@)`
`alpha=60^(@)`
`beta=30^(@)`
`(cosalpha)/(cosbeta)=(cos60^(@))/(cos30^(@))=(1//2)/(sqrt(3)//2)`
`=(1)/(2)xx(2)/sqrt(3)=(1)/sqrt(3)=1:sqrt(3)`


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