If z = 1 – cos 2 θ + i sin 2 θ, then ∣ z ∣
Explore Chapter 4 of Class 11 NCERT Mathematics (CBSE 2024-25) and dive deep into complex numbers and quadratic equations. This chapter introduces essential concepts like real and imaginary numbers, operations on complex numbers, polar representation, and solving quadratic equations in the complex domain. These multiple-choice questions are designed to challenge your understanding, enhance problem-solving skills, and boost your confidence. Whether you’re revising for exams or practicing for a stronger grasp of concepts, these MCQs provide an interactive and engaging learning experience. Sharpen your accuracy and speed while mastering key mathematical principles effortlessly!
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Choice (c) is correct.
Here, z = 1 – cos 2 θ + i sin 2 θ
∣ z ∣ = ∣1 – cos 2 θ + i sin 2 θ∣ = √(1 – cos 2θ)² + (sin 2θ)²
= √ 1 -2 cos 2 θ + sin² 2θ = √1 – 2 cos2θ + 1
= √2 -2 cos 2 θ = √2(1- cos 2θ ) = √2(2 sin² θ) = 2 ∣ sin θ ∣
This question related to Chapter 4 maths Class 11th NCERT. From the Chapter 4: Complex Numbers and Quadratic Equations. Give answer according to your understanding.
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