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ICSE Class 10 Answered

if abc are in Continued proportion then prove that 3a2-4ab+5b2/3b2-4bc+5c2=a/c
Asked by vrj.parmar369 | 07 Mar, 2024, 11:27: AM
answered-by-expert Expert Answer

if a, b and c are in continued proportion , then

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hence b2 = a c

hence , we get

img

( in RHS , we have substituted b2 = a c )

Hence RHS becomes

img

Hence it is proved that if a, b and c are in continued proportion , then

img

Answered by Thiyagarajan K | 07 Mar, 2024, 12:21: PM

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