InterviewSolution
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InterviewSolution
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If ` a^2+2bc ,b^2+2ca, c^2+2ab` are in A.P. then :-A. `(a-b)(c-a),(a-b)(b-c),(b-c)(c-a)` are in A.PB. b-c,c-a,a-b are in H.PC. a+b,b+c,c+a are in H.PD. `a^2,b^2,c^2` are in H.P |
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Answer» Correct Answer - A::B `a^(2)+2bc,b^(2)+2ca,c^(2)+2b` `thereforeab+bc+ca-a^(2)-2bc,ab+bc+ca-b^(2)-2ca`, `ab+bc+ca-c^(2)-2ab` are in A.P. `rArr(c-a)(a-b),(a-b)(b-c),(b-c)(c-a)` are in A.P. `((c-a)(a-b))/((a-b)(b-c)(c-a)),((a-b)(b-c))/((a-b)(b-c)(c-a)),` `((b-c)(c-a))/((a-b)(b-c)(c-a))` are in A.P. `rArr b-c,c-a,a-b` are in H.P. |
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