InterviewSolution
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InterviewSolution
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If `a , b , c ,d`and `p`are distinct real numbers such that(1987, 2M)`(a^2+b^2+c^2)p^2-2(a b+b c+c d)P+(b^2+c^2+d^2)geq0,t h e na , b , c , d`are in AP(b) are in GPare in HP(d) satisfy `a b=c d`A. A.PB. G.PC. H.PD. ab=cd |
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Answer» Correct Answer - B We have, `(a^(2)+b^(2)+c^(2))p^(2)-2p(ab+bc+cd)+(b^(2)+c^(2)+d^(2))le0` `rArr" "(ap-b)^(2)+(bp-c)^(2)+(cp-d)^(2)le0` `rArr" "ap-b=0=bp-c=cp-d` `rArr" "(b)/(a)=(c)/(b)=(d)/(c)=prArr` a,b,c,d are in G.P. |
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