Question

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Answer 1

B. p varies inversely as r

Explanation:

Since, p varies directly as q

`\therefore p\:\:\alpha \:\:q\\</p><p>\therefore p= kq.. (k = constant)... (1)\\</p><p>`

Since, q varies inversely as r

`\therefore q\:\:\alpha \:\:(1)/(r) \\</p><p>\therefore q= (k)/(r) .. (k = constant)... (2)\\</p><p>`

From equations (1) & (2)

`p = k* (k)/(r)\\</p><p>p = (k^2)/(r)\\</p><p>p\:\:\alpha \:\: (1)/(r)\\</p><p>`

Hence, p varies inversely as r.