Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

If x = a(cos thita + thita sin thita) and y = a(sin thita – thita cos thita), show that d2y/dx2 = 1/a (sec3thita / thita) Explain in great detail
Asked by haroonrashidgkp | 25 Aug, 2018, 19:15: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight x equals straight a left parenthesis cosθ plus θsinθ right parenthesis dx over dθ equals straight a open parentheses negative sinθ plus θcosθ plus sinθ close parentheses dx over dθ equals aθcosθ......... left parenthesis straight i right parenthesis straight y equals straight a open parentheses sinθ minus θcosθ close parentheses dy over dθ equals straight a open square brackets cosθ minus open parentheses negative θsinθ plus cosθ close parentheses close square brackets dy over dθ equals straight a open square brackets cosθ plus θsinθ minus cosθ close square brackets dy over dθ equals aθsinθ........ left parenthesis ii right parenthesis dy over dx equals aθsinθ over aθcosθ dy over dx equals tanθ fraction numerator straight d squared straight y over denominator dx squared end fraction equals sec squared straight theta dθ over dx fraction numerator straight d squared straight y over denominator dx squared end fraction equals sec squared straight theta cross times 1 over aθcosθ fraction numerator straight d squared straight y over denominator dx squared end fraction equals fraction numerator sec cubed straight theta over denominator aθ end fraction end style
Answered by Sneha shidid | 28 Aug, 2018, 12:05: PM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 12-science - Maths
x=acos^3theta and y=bsin^3theta find d^2y/dx^2.
Asked by gunturiabhishek | 18 Oct, 2020, 15:40: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
if x=a(1-cosθ ),y =b sinθ , then find dy/dx and d^2y/dx^2.
Asked by Gothai | 28 Aug, 2018, 23:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
If x = a cos thita + b sin thita and y = a sin thita – b cos thita, show that y2d2y/dx2 – x dy/dx + y = 0 explain in great detail
Asked by haroonrashidgkp | 25 Aug, 2018, 19:15: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
If x = a(cos thita + thita sin thita) and y = a(sin thita – thita cos thita), show that d2y/dx2 = 1/a (sec3thita / thita) Explain in great detail
Asked by haroonrashidgkp | 25 Aug, 2018, 19:15: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
If y = {x + (x2 + 1)1/2}m then show that (x2 + 1)d2y/dx2 + x dy/dx – m2y = 0
Asked by haroonrashidgkp | 25 Aug, 2018, 19:13: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
If y = ea cos-1 x  , -1 <_  x _< 1 show that (1 – x2)d2y/dx2 – x dy/dx – a2y = 0       explain in great detail
Asked by haroonrashidgkp | 25 Aug, 2018, 19:05: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Find the second order derivative of  sin 3x cos 5x  
Asked by haroonrashidgkp | 24 Aug, 2018, 23:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Find the second order derivative  of e3x sin 4x Explain in great detail  
Asked by haroonrashidgkp | 24 Aug, 2018, 23:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
If y = sec x – tan x , show that  (cos x)d2y/dx2 = y2 Explain in great detail
Asked by haroonrashidgkp | 24 Aug, 2018, 23:11: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Differentiate space straight y equals square root of fraction numerator straight x squared plus 2 over denominator straight x squared plus 3 end fraction end root 
Asked by Topperlearning User | 01 Aug, 2014, 13:27: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt