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If x= 3tan theta ,y =3cosec theta, then...

If ` x= 3tan theta ,y =3cosec theta, then " at " theta =(pi)/(6) ,(dy)/(dx) =`

A

` (-3sqrt(3))/( 2) `

B

` (3sqrt(3))/( 2) `

C

` (-3)/(2)`

D

` (3)/(2) `

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The correct Answer is:
A
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NIKITA PUBLICATION-DIFFERENTIATION -MCQ
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  2. If x= sec ^(2) theta, y =tan ^(3) theta ,then " at " theta (pi)/(3) ,...

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  3. If x= 3tan theta ,y =3cosec theta, then " at " theta =(pi)/(6) ,(dy)/...

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  4. If x= 2 cos^(4) (t+3) ,y=3sin ^(4) (t+3) ,then (dy)/(dx)=

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  5. if x=a cos^(4) theta, y= a sin^(4) theta, "then" (dy)/(dx)"at" theta=(...

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  6. If x=sin tcos 2t,y= cos tsin 2t ,then " at " t= (pi)/(4) ,(dy)/(dx)

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  7. Ify=1- cos theta, x =1 - sin theta,then (dy)/(dx) " at " theta = (pi)/...

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  8. If x =theta -sin theta ,y=1 -cos theta ,then " at " theta =(pi)/(2) ,...

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  9. If x=a ( theta -sin theta ) ,y=a(1-cos theta ) ,then (dy)/(dx) =

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  10. If x =a sqrt( sectheta -tan theta) ,y=a sqrt(sectheta +tan theta ), t...

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  11. If x =3 cos t-2cos ^(3) t,y =3 sin t- 2 sin ^(3) t,then (dy)/(dx) =

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  12. If x =3 cos theta -2 cos ^(3) theta, y=3sin theta -2 sin ^(3) theta ,...

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  13. If x= 2cost+cos 2t,y=2sin t-sin 2t ,then " at " t= ( pi)/(4) ,(dy)/(d...

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  14. If x=2cos theta -cos 2theta ,y=2sin theta -sin 2theta ,then (dy)/(dx)...

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  15. यदि x=a sin 2theta (1+ cos 2theta ),y =bcos 2theta (1-cos 2theta ), ...

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  16. If x=a ( tcos t- sin t ) ,y =a ( tsin t +cos t ),then (dy)/(dx) =

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  17. If x=sin^3t/(sqrtcos2t), y=cos^3t/sqrt(cos2t) show that dy/dx =0 at t=...

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  18. If x =a (cos theta +theta sin theta ), y =a (sin theta -theta costhet...

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  19. If x= sin (log t ),y =log (sin t ) ,then (dy)/(dx)=

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  20. If x=cos (logt ) ,y log (cost ) ,then (dy)/(dx) =

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