Class XI

Convert between Polar and Rectangular Equations

Lesson

Practice

Lesson

Worked Examples

Question 1

Convert the rectangular equation $5x-4y=3$5x−4y=3 into a polar equation.

Question 2

Convert the polar equation $r=\frac{8}{1+\sin\theta}$r=81+sinθ into a rectangular equation.

Question 3

Convert the rectangular equation $x^2+y^2=64$x2+y2=64 into a polar equation.

Outcomes

11.A.CNQE.1

Need for complex numbers, especially √-1, to be motivated by inability to solve every quadratic equation. Brief description of algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system.