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- Question 1, Exercise 1.1
- s published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 1(i)===== Simplify ${{i}^{9}}+{{i}^{19}}$. GOOD ====Solutio
- Question 2 & 3, Exercise 1.1
- s published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 2===== Prove that ${{i}^{107}}+{{i}^{112}}+{{i}^{122}}+{{i
- Question 4, Exercise 1.1
- s published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 4(i)===== Subtract the second complex number from first $\l
- Question 5, Exercise 1.1
- s published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 5(i)===== Multiply the complex number $8i+11,-7+5i$. ====So
- Question 6, Exercise 1.1
- s published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 6(i)===== Perform the indicated division $\dfrac{4+i}{3+5i}
- Question 7, Exercise 1.1
- s published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 7(i)===== If ${{z}_{1}}=1+2i$ and ${{z}_{2}}=2+3i$, evaluat
- Question 8, Exercise 1.1
- s published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 8(i)===== Express the $\dfrac{1-2i}{2+i}+\dfrac{4-i}{3+2i}$
- Question 9 & 10, Exercise 1.1
- s published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 9===== Find the conjugate of $\dfrac{\left( 3-2i \right)\
- Question 11, Exercise 1.1
- s published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 11(i)===== Let ${{z}_{1}}=2-i$, ${{z}_{2}}=-2+i$. Find ${
- Question 1, Exercise 1.2
- s published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 1===== If ${{z}_{1}}=2+i$and ${{z}_{2}}=1-i$, then verify
- Question 2, Exercise 1.2
- s published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 2===== $z_1=-1+i$, $z_2=3-2i$ and ${{z}_{3}}=2-2i$, then ve
- Question 3 & 4, Exercise 1.2
- s published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 3===== ${{z}_{1}}=\sqrt{3}+\sqrt{2}i$, ${{z}_{2}}=\sqrt{2}-
- Question 5, Exercise 1.2
- s published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 5(i)===== Let ${{z}_{1}}=2+4i$and ${{z}_{2}}=1-3i$. Verify
- Question 6, Exercise 1.2
- s published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 6(i)===== Show that for all complex numbers ${{z}_{1}}$and
- Question 7, Exercise 1.2
- s published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 7(i)===== Separate into real and imaginary parts $\dfrac{2