Home
Class 11
PHYSICS
If x = a cos theta and y = b sin theta, ...

If `x = a cos theta` and `y = b sin theta`, find `(dy)/(dx)`

A

`-(b)/(a) cot theta.`

B

`-(a)/(b) cot theta.`

C

`-(b)/(a) tan theta.`

D

`-(a)/(b) tan theta.`

Text Solution

Verified by Experts

The correct Answer is:
A
`(dy)/(dx)=((dy)/(d theta))/((dx)/(d theta))" …(i)"`
`"Now "(dy)/(d theta)=b cos theta`
`"And "(dx)/(d theta)=-a sin theta.`
Substituting in (i), we get
`(dy)/(dx)=(b cos theta)/(-a sin theta)=-(b)/(a) cot theta.`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL TOOLS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS (1)|3 Videos

  • MATHEMATICAL TOOLS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS (2)|7 Videos

  • GRAVITATION

    MODERN PUBLICATION|Exercise Chapter Practice Test|15 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    MODERN PUBLICATION|Exercise Chapter Practise Test|16 Videos

Similar Questions

Explore conceptually related problems

If x = cos theta and y = sin^(3) theta, then |(yd ^(2)y)/(dx ^(2))+((dy)/(dx))^(2)|at theta=(pi)/(2) is:

If x = a cos^(2) theta, y = b sin^(2) theta " then "(dy)/(dx)= ?

x=a cos theta,y=b sin theta then find dy/dx

If x = sin theta - cos theta and y = sin theta + cos theta , then (dy)/(dx) =

If x = a (theta +sin theta) and y = a (1 - cos theta), "find" (dy)/(dx).

if x=a cos^(4) theta, y= a sin^(4) theta, "then" (dy)/(dx)"at" theta=(3pi)/(4) is

If x=a cos^(2)theta,y=b sin^(2)theta find (d^2y)/dx^2

If x = sin theta, y = tan theta then find (dy)/(dx)

If x=a(theta-sin theta) and,y=a(1+cos theta) find (dy)/(dx) at theta=(pi)/(3)