# CAT 2017 Set-1 | Question: 79

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If $a$ and $b$ are integers of opposite signs such that $\left ( a+3 \right )^{2}:b^{2}= 9:1$ and $\left ( a-1 \right )^2 : \left ( b-1 \right )^2= 4:1$ , then the ratio $a^{2}:b^{2}$ is

1. $9:4$
2. $81:4$
3. $1:4$
4. $25: 4$

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