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CBSE Class 11-science Answered

<div>How to approach to its answer...</div> <div>&nbsp;</div> <div><img 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" 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
Asked by nitishkrnehu09 | 23 Nov, 2017, 09:48: AM
Expert Answer
begin mathsize 16px style Let space straight G space be space the space centroid space and space straight H space be space the space orthocentre.
Let space position space vectors space of space straight A comma straight B comma straight C comma straight H space and space straight G space are space straight a with rightwards harpoon with barb upwards on top comma straight b with rightwards harpoon with barb upwards on top comma straight c with rightwards harpoon with barb upwards on top comma straight h with rightwards harpoon with barb upwards on top space and space straight g with rightwards harpoon with barb upwards on top space respectively.
straight g with rightwards harpoon with barb upwards on top equals fraction numerator straight a with rightwards harpoon with barb upwards on top plus straight b with rightwards harpoon with barb upwards on top plus straight c with rightwards harpoon with barb upwards on top over denominator 3 end fraction equals fraction numerator 2 straight O with rightwards harpoon with barb upwards on top plus straight h with rightwards harpoon with barb upwards on top over denominator 3 end fraction
3 straight g with rightwards harpoon with barb upwards on top equals 2 straight O with rightwards harpoon with barb upwards on top plus straight h with rightwards harpoon with barb upwards on top
Put space it space in space the stack space HA with rightwards harpoon with barb upwards on top plus HB with rightwards harpoon with barb upwards on top plus HC with rightwards harpoon with barb upwards on top space using space position space vectors
you space will space get space the space answer space 2 HO with rightwards harpoon with barb upwards on top. end style
Answered by Sneha shidid | 29 Nov, 2017, 11:30: AM
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a squared comma p squared comma b squared space a r e space i n space A. P. space comma space t h e n space p r o v e space t h a t space a to the power of 4 plus b to the power of 4 space equals space 0 space.
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