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प्रश्न
If `a/b = c/d = e/f`, prove that each ratio is `[(2a^3 + 5c^3 + 7e^3)/(2b^3 + 5d^3 + 7f^3)]^(1/3)`
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उत्तर
`a/b = c/d = e/f` = k(say)
∴ a = k, c = dk, e = fk
`[(2a^3 + 5c^3 + 7e^3)/(2b^3 + 5d^3 + 7f^3)]^(1/3)`
= `[(2b^3k^3 + 5d^3k^3 + 7f^3k^3)/(2b^3 + 5d^3 + 7f^3)]^(1/3)`
= `k[(2b^3 + 5d^3 + 7f^3)/(2b^3 + 5d^3 + 7f^3)]^(1/3)` = k
Hence proved.
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| Sweet Corn | Cream of Tomato | ||
| Nutrition Facts | Nutrition Facts | ||
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| About 2 serving per Container | About 2 serving per Container | ||
| Amount Per Serving | Amount Per Serving | ||
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| Dietary Fibre 3 gram | 14% | Dietary Fibre 4 gram | 18% |
| Sugar 5g | Sugar 11g | ||
| Protein 3g | Protein 2g | ||
| Vitamin A 30% | Vitamin C 10% | Vitamin A 20% | Vitamin C 20% |
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