यदि समीकरण \( x^{2}-3 x+p=0 \) के मूल \( a, b \) तथा समीकरण \( x^{2}-12 x+q=0 \) के मूल \( c, d ...

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यदि समीकरण \( x^{2}-3 x+p=0 \) के मूल \( a, b \) तथा समीकरण \( x^{2}-12 x+q=0 \) के मूल \( c, d \) हैं और \( a, b, c, d \) गुणोत्तर श्रेढ़ी में हैं, तो सिद्ध कीजिए-
\[
p: q=1: 16
\]
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