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प्रश्न
Complite the following table given that x varies directly as y .
| x | 6 | 8 | 10 | ... | 20 |
| y | 15 | 20 | ... | 40 | ... |
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उत्तर
\[\text{ Here, x and y vary directly } . \]
\[ \therefore x = ky\]
\[ x = 6 \text{ and } y = 15\]
\[i . e . , 6 = k \times 15\]
\[ \Rightarrow k = \frac{6}{15} = 0 . 4\]
\[\text{ For x = 10 and k = 0 . 4, we have: } \]
\[y = \frac{10}{0 . 4} = 25\]
\[\text{ For y = 40 and k = 0 . 4, we have: } \]
\[x = 0 . 4 \times 40 = 16\]
\[\text{ For x = 20 and k = 0 . 4, we have: } \]
\[y = \frac{20}{0 . 4} = 50\]
संबंधित प्रश्न
In which of the following tables x and y vary directly?
(i)
| a | 7 | 9 | 13 | 21 | 25 |
| b | 21 | 27 | 39 | 63 | 75 |
(ii)
| a | 10 | 20 | 30 | 40 | 46 |
| b | 5 | 10 | 15 | 20 | 23 |
(iii)
| a | 2 | 3 | 4 | 5 | 6 |
| b | 6 | 9 | 12 | 17 | 20 |
(iv)
| a | 12 | 22 | 32 | 42 | 52 |
| b | 13 | 23 | 33 | 43 | 53 |
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