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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1
If a,  b,  c,  d  and  pa,\;b,\;c,\;d\;\mathrm{and}\;p are different real numbers such that (a2+b2+c2)  p2−2(ab+bc+cd)    p+(b2+c2+d2)≤0,then  a,  b,  c,  d\left( {{a^2} + {b^2} + {c^2}} \right)\;{p^2} - 2\left( {ab + bc + cd} \right)\;\;p + \left( {{b^2} + {c^2} + {d^2}} \right) \le 0,\mathrm{then}\;a,\;b,\;c,\;d are in
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Correct option: B
GP
Option B (GP) is correct because the given condition implies that a,b,c,da, b, c, d are in GP, as derived from the inequality.

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