If r varies inversely as the square root of s and t, how ...
If r varies inversely as the square root of s and t, how does s vary with r and t?
s varies inversely as r and t2
s varies inverely as r2 and t
s varies directly as r2 and t2
s varies directly as r and t
Correct answer is B
r∝1√s,r∝1√t
r∝1√s ..... (1)
r∝1√t ..... (2)
Combining (1) and (2), we get
r=k√s×√t=k√st
This gives √st=kr
By taking the square of both sides, we get
st = k2r2
s = k2r2t
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