11 Class Math Notes (Exercise 1.3) Federal Board (FBISE) AJK and KPK Boards New National Curriculum 2025

11 Class Math Notes (Exercise 1.3) Federal Board (FBISE) AJK and KPK Boards New National Curriculum 2025, 2nd Year Mathematics Notes (Exercise 1.3) Federal Board (FBISE), AJK, and KPK Boards New National Curriculum 2025, 12th Class Mathematics Notes (Exercise 1.3) Federal Board (FBISE), AJK, and KPK Boards | New National Curriculum 2025, 2nd Year Mathematics Notes (Exercise 1.3) Federal Board (FBISE) AJK and KPK Boards New National Curriculum 2025, Are you searching for 2nd Year Mathematics Notes (Exercise 1.3) according to the New National Curriculum (FSC, ICS, FCS)? Here at our  website ALL CLASS NOTES , you can read online and download comprehensive notes designed for students of the Federal Board (FBISE), AJK Board, and Khyber Pakhtunkhwa Boards (KPK) — including Mardan, Kohat, Malakand, Abbottabad, D.I. Khan, and Bannu Boards.

These Class 11 / HSSC Mathematics Notes strictly follow the latest syllabus and make complex concepts easier to understand. Students facing difficulties in mathematics can use these notes for revision, preparation, and self-study. They are crafted by expert teachers to ensure clarity, accuracy, and full alignment with board exam patterns.

11 Class Math Notes (Exercise 1.3) Federal Board (FBISE) AJK and KPK Boards New National Curriculum 2025

Very Easy Solution, Comprehensive and Updated  Notes for all students:

📘 Key Features of 11 class Math Notes (Ex 1.3)

• Complete solutions according to the Federal and KPK Boards.

• Step-by-step explanations with formulas and examples.

• Based on the New National Curriculum (2025 Edition).

• Ideal for F.Sc, ICS, and FCS students.

• Useful for both teachers and learners.

• Available for online reading.

Chapter 1: Complex Number – Class 11 Math Notes

• Complex Numbers extend the real number system by allowing solutions to equations that involve the square root of negative numbers.

• The imaginary unit $i$ is defined as i=−1i = \sqrt{-1}i=−1​, and it follows special rules such as i2=−1i^2 = -1i2=−1, which form the basis of imaginary numbers.

• A complex number is written as $a+bi$, where a is the real part and b is the imaginary part, combining both into one number.

• Addition, subtraction, multiplication, and division of complex numbers follow algebraic rules but require careful handling of the term i2=−1i^2 = -1i2=−1.

• The complex conjugate $a-bi$ is used to simplify expressions and is especially important for dividing complex numbers.

• The modulus of a complex number, given by ∣a+bi∣=a2+b2|a + bi| = \sqrt{a^2 + b^2}∣a+bi∣=a2+b2​, represents its distance from the origin in the complex plane.

• Complex numbers can also be expressed in polar form, using magnitude and angle, which helps in advanced operations like rotation and exponential representation.

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🎯 Final Words

These 1st Year Mathematics Notes (Ex 1.3) are a complete, student-friendly resource created in line with the New National Curriculum of FBISE, AJK, and KPK Boards. Use them regularly to improve your conceptual understanding and secure excellent marks in your final exams. 12 Class Maths Notes (Exercise 2.7) Federal Board (FBISE) AJK and KPK Boards New National Curriculum 2025.

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