यदि वृत्त \( x^{2}+y^{2}+2 a x+c=0 \) और वृत्त \( x^{2}+y^{2}+2 b y+c=0 \) एक-दूसरे को स्पर्श कर...

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यदि वृत्त \( x^{2}+y^{2}+2 a x+c=0 \) और वृत्त \( x^{2}+y^{2}+2 b y+c=0 \) एक-दूसरे को स्पर्श करते हैं, तो सिद्ध कीजिए कि \( \frac{1}{a^{2}}, \frac{1}{2 c}, \frac{1}{b^{2}} \) समान्तर श्रेणी में होंगे।
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