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If \[3{{p}^{2}}=5p+2\] and \[3{{q}^{2}}=5q+2\] where \[p\ne q\], then the equation whose roots are \[3p-2q\] and \[3q-2p\] is [Kerala (Engg.) 2005]

A. \[3{{x}^{2}}-5x-100=0\]
B. \[5{{x}^{2}}+3x+100=0\]
C. \[3{{x}^{2}}-5x+100=0\]
D. \[5{{x}^{2}}-3x-100=0\] \[5{{x}^{2}}-3x-100=0\]
Answer» B. \[5{{x}^{2}}+3x+100=0\]


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