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if g is the geometric mean b/w a and b show that 1/g+a,+ 1/g+b=1/g.

Posted by Ishita Tomar 7 years, 5 months ago

CBSE > Class 11 > Mathematics

1 answers

Rashmi Bajpayee 7 years, 5 months ago

L.H.S. = [1/(ab)^1/2+a] + [1/(ab)^{1/2}+b] = [1/a^1/2(a^1/2 + b^1/2)] + [1/b^{1/2}(a^{1/2} + b^{1/2})]

= (a^1/2 + b^1/2)/(ab)^1/2(a^{1/2} + b^{1/2})

= 1/(ab)^1/2

= 1/g

= R.H.S.

2Thank You

ANSWER

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