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Home / Doubts and Solutions/JEE/Mathematics

SIR PL TELL 13TH QUESTION.
 

Asked by neeraj.unnao 14th March 2017, 10:57 PM
Answered by Expert
Answer:
begin mathsize 16px style The space equation space of space the space curve space which space is space straight a space circle space is space given space by space 2 straight x squared plus 2 straight y squared equals 5 straight x rightwards double arrow space straight x squared plus straight y squared minus 5 over 2 straight x equals 0 rightwards double arrow space straight x squared minus 5 over 2 straight x plus 25 over 16 plus straight y squared equals 25 over 16 rightwards double arrow open parentheses straight x minus 5 over 4 close parentheses squared plus straight y squared equals open parentheses 5 over 4 close parentheses squared So comma space the space centre equals open parentheses 5 over 4 comma space 0 close parentheses space and space the space radius space is equals 5 over 4 Perpendicular space distance space from space the space centre space to space the space tangent equals fraction numerator open vertical bar ax plus by plus straight c close vertical bar over denominator square root of straight a squared plus straight b squared end root end fraction space where space left parenthesis straight x comma space straight y right parenthesis space is space the space centre Now comma space straight a equals 3 comma space straight b equals 4 comma space straight c equals negative straight k comma space straight x equals 5 over 4 comma space straight y equals 0 comma space straight r equals 5 over 4 rightwards double arrow straight r equals fraction numerator open vertical bar ax plus by plus straight c close vertical bar over denominator square root of straight a squared plus straight b squared end root end fraction rightwards double arrow 5 over 4 equals fraction numerator open vertical bar 3 open parentheses 5 over 4 close parentheses plus 4 left parenthesis 0 right parenthesis minus straight k close vertical bar over denominator square root of 3 squared plus 4 squared end root end fraction rightwards double arrow 5 over 4 equals fraction numerator open vertical bar 15 over 4 minus straight k close vertical bar over denominator square root of 9 plus 16 end root end fraction rightwards double arrow 5 over 4 equals fraction numerator open vertical bar 15 over 4 minus straight k close vertical bar over denominator 5 end fraction rightwards double arrow 15 over 2 minus straight k equals plus-or-minus 25 over 4 rightwards double arrow 15 over 2 minus straight k equals 25 over 4 space space space space space space or space space space space space space 15 over 2 minus straight k equals negative 25 over 4 rightwards double arrow straight k equals 15 over 2 minus 25 over 4 space space space space space space or space space space space space space straight k equals 15 over 2 plus 25 over 4 rightwards double arrow straight k equals 5 over 4 space space space space space space or space space space space space straight k equals 55 over 4 rightwards double arrow straight k equals 1.25 space space space space space space or space space space space space straight k equals 13.75 end style
 
PS: Dear Student, at this point of time a maam has been solving your queries rather than a 'sir'. Thank you. Just thought you should know.Smile
Answered by Expert 14th March 2017, 11:25 PM
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