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Question

If $a comma blank b comma blank$ and $c$ are in A.P. and $p comma blank p to the power of ´ end exponent$ are, respectively, A.M. and G.M. between $a$ and $b$ while $q comma q to the power of ´ end exponent$ are, respectively, the A.M. and G.M. between $b$ and $c$ , then

$p^{2} + q^{2} = p^{}$ 2+q'2'/>
$p q = p^{}$ q''/>
$p^{2} - q^{2} = p^{}$ 2-q'2'/>
None of these

The correct answer is: $p to the power of 2 end exponent minus q to the power of 2 end exponent equals p to the power of ´ 2 end exponent minus q to the power of ´ 2 end exponent$

$2 b equals a plus c$
$a comma blank p comma blank b comma blank q comma blank c$ are in A.P. Hence,
$p equals fraction numerator a plus b over denominator 2 end fraction$ and $q equals fraction numerator b plus c over denominator 2 end fraction$
Again, $a comma blank p to the power of ´ end exponent comma blank b comma blank q to the power of ´ end exponent comma$ and $c$ are in G.P. Hence,
$p to the power of ´ end exponent equals square root of a b end root$ and $q to the power of ´ end exponent equals square root of b c end root$
$rightwards double arrow p to the power of 2 end exponent minus q to the power of 2 end exponent equals fraction numerator open parentheses a minus c close parentheses left parenthesis a plus c plus 2 b right parenthesis over denominator 4 end fraction$
$equals open parentheses a minus c close parentheses b$
$equals a b minus b c$
$equals p to the power of ´ 2 end exponent minus q to the power of ´ 2 end exponent$

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Rubisco has the active site that binds to

Rubisco has the active site that binds to

parallel

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