InterviewSolution
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InterviewSolution
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If `a_1, a_2, a_3,54,a_6,a_7, a_8, a_9`are in H.P., and `D=|a_1a_2a_3 5 4a_6a_7a_8a_9|`, then the value of `[D]i sw h e r e[dot]`represents the greatest integer functionA. `4`B. `5`C. `6`D. `7` |
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Answer» Correct Answer - B `(b)` We have `D=|{:(a_(1),a_(2),a_(3)),(5,4,a_(6)),(a_(7),a_(8),a_(9)):}|` Since `a_(n)=(20)/(n)`, `d=(1)/(20)` Hence `D=|{:(20,(20)/(2),(20)/(3)),((20)/(4),(20)/(5),(20)/(6)),((20)/(7),(20)/(8),(20)/(9)):}|=((20)^(3))/(4xx7)|{:(1,(1)/(2),(1)/(3)),(1,(4)/(5),(2)/(3)),(1,(7)/(8),(7)/(9)):}|` Applying `R_(1)toR_(1)-R_(2)` and `R_(2)toR_(2)-R_(3)` `=((20)^(3))/(4xx7)|{:(0,(-3)/(10),(-1)/(3)),(0,(-3)/(40),(-1)/(9)),(1,(7)/(8),(7)/(9)):}|` `=(50)/(21)` |
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