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Maths-

General

Easy

Question

In $blank increment A B C comma$ if $blank A equals 30 degree comma blank b equals 2 comma blank c equals square root of 3 plus 1 comma blank$ then $fraction numerator C minus B over denominator 2 end fraction blank$ is equal to

$15 °$
$30 °$
$45 °$
None of these

The correct answer is: $30 degree$

We have $blank tan invisible function application fraction numerator C minus B over denominator 2 end fraction equals fraction numerator c minus b over denominator c plus b end fraction cot invisible function application fraction numerator A over denominator 2 end fraction$
$therefore tan invisible function application open parentheses fraction numerator C minus B over denominator 2 end fraction close parentheses equals fraction numerator square root of 3 plus 1 minus 2 over denominator square root of 3 plus 1 plus 2 end fraction cot invisible function application 15 degree$
$equals fraction numerator square root of 3 minus 1 over denominator square root of 3 plus 3 end fraction blank fraction numerator 1 over denominator tan invisible function application open parentheses 45 minus 30 degree close parentheses end fraction$
$equals fraction numerator square root of 3 minus 1 over denominator square root of 3 plus 3 end fraction blank fraction numerator square root of 3 plus 1 over denominator square root of 3 minus 1 end fraction equals fraction numerator 1 over denominator square root of 3 end fraction$
$equals tan invisible function application 30 degree$
$rightwards double arrow fraction numerator C minus B over denominator 2 end fraction equals 30 degree$

Related Questions to study

$I f blank x comma blank y comma blank z blank a r e blank i n blank A. P comma blank t h e n fraction numerator sin invisible function application x minus sin invisible function application z over denominator cos invisible function application z minus cos invisible function application x end fraction blank i s blank e q u a l blank t o$

$I f blank x comma blank y comma blank z blank a r e blank i n blank A. P comma blank t h e n fraction numerator sin invisible function application x minus sin invisible function application z over denominator cos invisible function application z minus cos invisible function application x end fraction blank i s blank e q u a l blank t o$

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If $open parentheses 21.4 close parentheses to the power of a end exponent equals open parentheses 0.00214 close parentheses to the power of b end exponent equals 100 comma$ then the value of $fraction numerator 1 over denominator b end fraction minus fraction numerator 1 over denominator b end fraction$ is

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Maths-General

parallel

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parallel

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