Exercise 1.4 Question No 1 and 2, FSc Part One, Class 11, PECTAA 2026 New Book
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Exercise 1.4 Question No 1 and 2, FSc Part One, Class 11, PECTAA 2026 New Book
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Exercise 1.4 Question No 1 and 2 Complete Solution | FSc Part One Class 11 Mathematics | PACTA 2026 New Book | Punjab Board
In this 29 minute lecture we have covered Exercise 1.4 from FSc Part One Mathematics New Book PECTAA 2026.
Topics Covered in this Lecture:
1. Three Cube Roots of Unity - Complete Concept with x^3=1, (x-1)(x^2+x+1)=0
2. Derivation of imaginary cube roots: (-1+i√3)/2 and (-1-i√3)/2
3. Properties of Cube Roots of Unity: 1+ω+ω^2=0, ω^3=1, Product=1, Reciprocal Property
4. Four Fourth Roots of Unity: 1, -1, i, -i
5. Properties of Four Fourth Roots of Unity: Sum=0, Additive Inverse, Conjugates, Product=-1
6. Exercise 1.4 Question No 1: Find three cube roots of 8, -8, -27, 64, -125
7. Exercise 1.4 Question No 2: Find four fourth roots of 16, 81, 625 and prove sum is zero
This lecture is for all Punjab Boards including Lahore, Rawalpindi, Gujranwala, Sargodha, Sahiwal, Multan, Bahawalpur, DG Khan as per PACTA 2026 New Syllabus.
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