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India
Class XI

Conversion and Simplification involving Polar form

Interactive practice questions

Find the value of $\frac{6\left(\cos220^\circ+i\sin220^\circ\right)}{3\left(\cos190^\circ+i\sin190^\circ\right)}$6(cos220°+isin220°)3(cos190°+isin190°) in rectangular form.

Easy
2min

Find the value of $\frac{24\left(\cos195^\circ+i\sin195^\circ\right)}{4\left(\cos60^\circ+i\sin60^\circ\right)}$24(cos195°+isin195°)4(cos60°+isin60°) in rectangular form.

Easy
2min

Find the value of $\frac{12}{\sqrt{3}+i}$123+i in rectangular form by first converting the numerator and denominator to polar form.

Medium
2min

Find the value of $\frac{8i}{-1-i\sqrt{3}}$8i1i3 in rectangular form by first converting the numerator and denominator to polar form.

Medium
2min
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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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