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CBSE Class 11-science Answered

6th sum plz
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Asked by lovemaan5500 | 07 Oct, 2018, 01:33: PM
answered-by-expert Expert Answer
begin mathsize 18px style Equation space of space line space passing space through space left parenthesis cos space straight theta comma space sin space straight theta right parenthesis space and space left parenthesis cos space straight ϕ comma space sin space straight ϕ right parenthesis open parentheses straight y minus sinθ close parentheses equals fraction numerator sinϕ space minus space sinθ over denominator cosϕ space minus space cosθ end fraction open parentheses straight x minus cosθ close parentheses Simplifying minus open parentheses sinϕ space minus space sinθ close parentheses straight x plus open parentheses cosϕ space minus space cosθ close parentheses straight y equals sinθcosϕ minus sinϕcosθ minus open parentheses sinϕ space minus space sinθ close parentheses straight x plus open parentheses cosϕ space minus space cosθ close parentheses straight y minus sin open parentheses straight theta minus straight ϕ close parentheses equals 0 which space is space in space the space form space Ax space plus space By space plus space straight C space equals 0 straight d equals open vertical bar fraction numerator Ax subscript 1 space plus space By subscript 1 space plus space straight C over denominator square root of straight A squared plus straight B squared end root end fraction close vertical bar we space get straight d equals open vertical bar fraction numerator negative sin open parentheses straight theta minus straight ϕ close parentheses over denominator square root of open parentheses sinϕ space minus space sinθ close parentheses squared plus open parentheses cosϕ space minus space cosθ close parentheses squared end root end fraction close vertical bar equals open vertical bar fraction numerator negative sin open parentheses straight theta minus straight ϕ close parentheses over denominator square root of open parentheses 2 cos open parentheses begin display style fraction numerator straight theta plus straight ϕ over denominator 2 end fraction end style close parentheses. sin open parentheses fraction numerator straight theta minus straight ϕ over denominator 2 end fraction close parentheses close parentheses squared plus open parentheses 2 sin open parentheses fraction numerator straight theta plus straight ϕ over denominator 2 end fraction close parentheses. sin open parentheses fraction numerator straight theta minus straight ϕ over denominator 2 end fraction close parentheses close parentheses squared end root end fraction close vertical bar equals open vertical bar fraction numerator sin open parentheses straight theta minus straight ϕ close parentheses over denominator 2. sin open parentheses fraction numerator straight theta minus straight ϕ over denominator 2 end fraction close parentheses. open parentheses cos open parentheses fraction numerator straight theta plus straight ϕ over denominator 2 end fraction close parentheses squared plus sin open parentheses fraction numerator straight theta plus straight ϕ over denominator 2 end fraction close parentheses squared close parentheses end fraction close vertical bar equals open vertical bar fraction numerator sin open parentheses straight theta minus straight ϕ close parentheses over denominator 2. sin open parentheses fraction numerator straight theta minus straight ϕ over denominator 2 end fraction close parentheses end fraction close vertical bar end style
Answered by Arun | 09 Oct, 2018, 11:56: AM

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