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CBSE Class 11-science Answered

1st?
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Asked by smanishkumar2002 | 04 Aug, 2018, 10:45: PM
answered-by-expert Expert Answer
Consider the line y=mx
and find the point of intersections 
begin mathsize 16px style let space the space inclination space of space straight y space equals space mx space be space straight theta so space equaton space of space line space in space parametric space from fraction numerator straight x minus 0 over denominator cos space straight theta end fraction equals fraction numerator straight y space minus 0 over denominator sin space straight theta end fraction equals straight r to space get space AO thin space length space sub space open parentheses 1 comma straight m close parentheses space above AO space equals space fraction numerator 1 over denominator cos space straight theta end fraction similarly OB space equals space fraction numerator 2 over denominator sin space straight theta space end fraction OC space equals space fraction numerator 4 over denominator sin space straight theta space plus space cos space straight theta end fraction given AO. OB. OC equals 8 square root of 2 sub space we space get fraction numerator 1 over denominator square root of 2 end fraction equals open parentheses sin space straight theta plus cosθ close parentheses open parentheses sin space straight theta space cross times space cos space straight theta close parentheses fraction numerator 1 over denominator square root of 2 end fraction equals fraction numerator open parentheses sin space straight theta plus cosθ close parentheses over denominator 2 end fraction open parentheses sin space 2 straight theta close parentheses fraction numerator 1 over denominator square root of 2 end fraction equals fraction numerator square root of 1 plus sin space 2 straight theta end root over denominator 2 end fraction open parentheses sin space 2 straight theta close parentheses sin space 2 straight theta space equals space straight t straight t cubed plus straight t squared minus 2 equals 0 clearly space straight t space equals 1 sin space 2 straight theta space equals 1 2 straight theta space equals 90 straight theta space equals 45 straight m space equals space tan space 45 straight y equals straight x...... equation end style
Answered by Arun | 07 Aug, 2018, 11:03: AM

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