Q. 164.3( 3 Votes )

If x = a cos θ +

Answer :

As x = acos θ +bsinθ …(1)

Differentiating x w.r.t θ we get-


Similarly we have,

y = a sinθ – b cosθ …(3)

Differentiating y w.r.t θ we get-


By chain rule we can write that:

From equation 2 and 4 we have-

From equations 1 and 3, we get-


Differentiating both sides w.r.t x –

Using product rule of differentiation, we can write it as-

From equation 5 we can write it as-

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses

If y = 3 cos(log Mathematics - Board Papers

If x = t2</sMathematics - Exemplar

If x = a cos θ + Mathematics - Board Papers

If <iMathematics - Exemplar

If y =(tan–1Mathematics - Board Papers

If y = (tan Mathematics - Board Papers

Differentiate <spMathematics - Board Papers

Find<span lang="EMathematics - Board Papers

If y = xx</sMathematics - Board Papers

If x = a cos θ + Mathematics - Board Papers