1.

If polar of a circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]with respect to \[(x',y')\] is \[Ax+By+C=0\], then its pole will be    [RPET 1995]

A.   \[\left( \frac{{{a}^{2}}A}{-C},\frac{{{a}^{2}}B}{-C} \right)\]       
B.   \[\left( \frac{{{a}^{2}}A}{C},\frac{{{a}^{2}}B}{C} \right)\]
C.   \[\left( \frac{{{a}^{2}}C}{A},\frac{{{a}^{2}}C}{B} \right)\]
D.   \[\left( \frac{{{a}^{2}}C}{-A},\frac{{{a}^{2}}C}{-B} \right)\]
Answer» B.   \[\left( \frac{{{a}^{2}}A}{C},\frac{{{a}^{2}}B}{C} \right)\]


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