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Ques41

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Asked by rbhatt16 18th July 2018, 1:58 PM
Answered by Expert
Answer:
The distance from origin (0, 0) to the point on the curve (x, y) is
 
begin mathsize 16px style square root of straight x squared plus straight y squared end root
equals square root of open parentheses asint minus bsin open parentheses at over straight b close parentheses close parentheses squared plus open parentheses acost minus bcos open parentheses at over straight b close parentheses close parentheses squared end root
Solving space it space further space we space get
equals square root of straight a squared plus straight b squared minus 2 abcos open parentheses fraction numerator at over denominator straight b minus straight t end fraction close parentheses end root
Minimum space value space at space cos space is space 1.
equals square root of straight a squared plus straight b squared minus 2 ab cross times 1 end root
equals square root of left parenthesis straight a minus straight b right parenthesis squared end root
equals straight a minus straight b end style
Answered by Expert 19th July 2018, 9:08 AM
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