Whatever be the value of theta, prove that the locus of the point of intersection of the straight lines #y=xtan(theta)# and #xsin^3(theta)+ycos^3(theta)=asin(theta)cos(theta)# is a circle.find the equation of the circle?
2 Answers
See below.
Explanation:
Solving for
we get
which is the polar form for the circle
Given
Dividing both sides of [2] by
This is the equation of the circle