Answer with explanations:
V=I1*R1=I2*R2 (when R1 and R2 are connected in parallel)
Therefore, rearranging above, I1/I2=R2/R1
Heat produced = I^2R
Ratio of heat produced by R1 and R2
= (I1^2*R1) / (I2^2*R2 )
= (I1/I2)^2 * (R1/R2)
= (R2/R1)^2 * (R1/R2)
= R2/R1