for the series combination of three resistors establish the relation r=r1+r2+r3
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In parallel connection - 1/R = 1/R1 + 1/R2 + 1/R3
so, 1/R = 1/6 + 1/9 +1/18
1/R = 3+2+1/18. (lcm = 18)
1/R = 6/18
1/R = 1/3
R = 3 ohm
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So, total resistance is 3 ohm.
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