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Ques 24

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Asked by rbhatt16 10th July 2018, 11:23 PM
Answered by Expert
Answer:
begin mathsize 16px style differenciate space wrt space straight theta
dx over dθ equals straight a space cos space straight theta
fraction numerator begin display style dy end style over denominator begin display style dθ end style end fraction equals straight a space sin space straight theta
dy over dx equals tan space straight theta...... tangent space slope
so space normal space slope space equals negative cot space straight theta
equation space of space normal space through space
straight x space equals straight a open parentheses cos space straight theta space plus space straight theta space sin space straight theta close parentheses space and space straight y space equals straight a open parentheses sin space straight theta space minus space straight theta space cos space straight theta close parentheses
open parentheses straight y minus straight a open parentheses sin space straight theta space minus space straight theta space cos space straight theta close parentheses close parentheses equals negative cot space straight theta cross times left parenthesis straight x minus space straight a open parentheses cos space straight theta space plus space straight theta space sin space straight theta close parentheses right parenthesis
straight x space cos space straight theta space plus space straight y space sinθ space minus straight a space equals 0...... normal space equation
distance space from space left parenthesis 0 comma 0 right parenthesis
straight d equals fraction numerator open vertical bar 0 space cos space straight theta space plus space 0 space sinθ space minus straight a close vertical bar over denominator square root of cos space squared straight theta space plus space space sin space squared straight theta space end root end fraction equals straight a...... constant


end style
Answered by Expert 16th July 2018, 3:29 PM
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