Search
You can find the results of your search below.
Fulltext results:
- Question 7, Exercise 1.2
- .2 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ==... dfrac{2+3i}{5-2i}\times \dfrac{5+2i}{5+2i} \quad \text{by rationalizing} \\ =&\dfrac{10-6+15i+4i}{25+4}\... frac{-3+4i}{1-3i}\times \dfrac{1+3i}{1+3i} \quad \text{by rationalizing}\\ =&\dfrac{-3-12+4i-9i}{1+9}\\
- Question 5, Exercise 1.3
- .3 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ==... implies &(z+2i)(z-2i)=0\\ \implies &z+2i=0 \quad \text{or} \quad z-2i=0\\ \implies &z=-2i \quad \text{or} \quad z=2i.\end{align} Thus, the solutions of the gi
- Question 5, Exercise 1.2
- .2 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ==... 3bi}{2a-3bi}\times \dfrac{2a+3bi}{2a+3bi} \quad (\text{by rationalizing})\\ &=\dfrac{-2{{a}^{2}}+9{{b}^{... z}_{1}}}}{\overline{{{z}_{2}}}}.$$ ====Go to==== <text align="left"><btn type="primary">[[math-11-kpk:so
- Question 6, Exercise 1.2
- .2 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ==... ht|\\ &=|{{z}_{1}}|\cdot \dfrac{1}{|{{z}_{2}}|}, \text{ by using (1)}\\ &=\dfrac{|{{z}_{2}}|}{|{{z}_{2}}|}=R.H.S.\end{align} ==== Go To ==== <text align="left"><btn type="primary">[[math-11-kpk:so
- Question 8, Exercise 1.2
- .2 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ==... erline{z}=-bi \\ \implies &\overline{z}=-z \quad \text{by using (2).} \end{align} This was required. ==== Go To ==== <text align="left"><btn type="primary">[[math-11-kpk:so
- Question 2 & 3, Exercise 1.1
- .1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ==... 1+\sqrt{2} \right)i\end{align} ====Go to ==== |<text align="left"><btn type="primary">[[math-11-kpk:sol:unit01:ex1-1-p1|< Question 1]]</btn></text> | <text align="right"><btn type="success">[[ma
- Question 4, Exercise 1.1
- .1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... 7} \right)i\\ &=2\sqrt{3}-7\sqrt{7}i\end{align} <text align="left"><btn type="primary">[[math-11-kpk:sol:unit01:ex1-1-p2 |< Question 2 & 3]]</btn></text> <text align="right"><btn type="success">[[math-1
- Question 5, Exercise 1.1
- .1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... +3 \right)+\sqrt{6}i\\ &=7+\sqrt{6}i\end{align} <text align="left"><btn type="primary">[[math-11-kpk:sol:unit01:ex1-1-p3|< Question 4]]</btn></text> <text align="right"><btn type="success">[[math-1
- Question 6, Exercise 1.1
- .1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... ^{2}}}\\ &=\dfrac{-6i+1}{1}\\ &=1-6i\end{align} <text align="left"><btn type="primary">[[math-11-kpk:sol:unit01:ex1-1-p4|< Question 5]]</btn></text> <text align="right"><btn type="success">[[math-1
- Question 7, Exercise 1.1
- .1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... \dfrac{\sqrt{65}}{13}\end{align} ==== Go to==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit01:ex1-1-p5|< Question 6]]</btn></text> <text align="right"><btn type="success">[[math-1
- Question 8, Exercise 1.1
- .1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... {6}{25}+\dfrac{8i}{25}\end{align} ====Go to==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit01:ex1-1-p6|< Question 7]]</btn></text> <text align="right"><btn type="success">[[math-1
- Question 9 & 10, Exercise 1.1
- .1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... 2i-2 \right)\\ &=2-2i\end{align} ====Go to==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit01:ex1-1-p7|< Question 8]]</btn></text> <text align="right"><btn type="success">[[math-1
- Question 2, Exercise 1.2
- .2 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... (4), we get the required result. ==== Go To ==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit01:ex1-2-p1|< Question 1]]</btn></text> <text align="right"><btn type="success">[[math-1
- Question 3 & 4, Exercise 1.2
- .2 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... \dfrac{7}{130}+\dfrac{9}{130}i$. ==== Go To ==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit01:ex1-2-p2|< Question 2]]</btn></text> <text align="right"><btn type="success">[[math-1
- Question 2, Exercise 1.3
- .3 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ==... )\\ &=(z-2)(z-i)(z+i).\end{align} ====Go To==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit01:ex1-3-p1 |< Question 1]]</btn></text> <text align="right"><btn type="success">[[math-1