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India
Class XI

Polar Form

Interactive practice questions

Consider the points on the following polar graphs.

a

Write down the missing coordinates in the graph below. Give your answer in terms of $r$r and $\theta$θ.

b

Write down the coordinates of $A$A in the graph below. Give your answer in terms of $r$r and $\theta$θ.

c

Write down the coordinates of $A$A in the graph below. Give your answer in terms of $r$r and $\theta$θ.

Easy
3min

Consider the polar equation $r=2\cos\theta$r=2cosθ.

What is the value of $r$r if $\theta=30^\circ$θ=30°?

Easy
< 1min

Consider the polar equation $r=2\sin2\theta$r=2sin2θ.

What is the value of $r$r if $\theta=30^\circ$θ=30°?

Easy
< 1min
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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.

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