X | (i) \[{{p}_{1}}\] | 200 | 300 |
y | 60 | 30 | (ii) \[{{p}_{2}}\] |
Answer:
Let \[{{x}_{1}}={{p}_{1}},{{x}_{2}}=200,{{x}_{3}}=300\] and \[{{y}_{1}}=60,{{y}_{2}}=30,{{y}_{3}}={{p}_{2}}\] Since, x and y are in inverse variation. (a) \[\therefore \] \[{{x}_{1}}{{y}_{1}}={{x}_{2}}{{y}_{2}}\] \[\Rightarrow \] \[{{p}_{1}}\times 60=200\times 30\] \[\therefore \] \[{{p}_{1}}=\frac{200\times 30}{60}=100\] (b) Also, \[{{x}_{2}}{{y}_{2}}={{x}_{3}}{{y}_{3}}\] \[\Rightarrow \] \[200\times 30=300\times {{p}_{2}}\] \[\therefore \] \[{{p}_{2}}=\frac{200\times 30}{300}=20\]
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