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https://beta.mathcity.org/_media/logo.pngtext/html2025-01-21T16:14:00+00:00Anonymous (anonymous@undisclosed.example.com)Mathematics 10 (Science Group)
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Mathematics 10 (Science Group)
[Matric Science 10th Book Cover]
The notes/solutions, definitions, MCQs and important question for Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan are available on this page. Whenever we found the notes we will update this page and will upload notes here. If you wish to contribute and send us the notes please contact us via our $(b^2-4ac)$$ax^2+bx+c$$\mathbb{N}$$\mathbb{W}$$\mathbb{Z}$$E$$O$$P$$\mathbb{Q}$$\cup$$\cap$$\s…text/html2025-01-21T16:14:01+00:00Anonymous (anonymous@undisclosed.example.com)Exercise 2.6 (Solutions)
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Exercise 2.6 (Solutions)
Question 1
Identify the following statements as true or false.
(i) $\sqrt{-3}\cdot\sqrt{-3} = 3$
(ii) $i^{73}=-i$
(iii) $i^{10} = -1$
(iv) Complex conjugate of $(-6i + i^2) is (-1 + 6i)$
(v) Difference of complex numbers $z = a + ib$ and its conjugate is a real number.
(vi) If $(a-1)-(b+3)i = 5+8i$, then a = 6 & b = -11
(vii) Product of complex number and its conjugate is always a non-negative real number.$a+ib$$(2+3i)+(7-2i)$$2(5+4i)+3(7-4i)$$-(-3+5i)-3(4+9i)$$…text/html2025-01-21T16:14:01+00:00Anonymous (anonymous@undisclosed.example.com)Exercise 6.1
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Exercise 6.1
On the following page we have given the solution of Exercise 6.1 of Mathematics 9 (Science) published by Caravan Book House, Lahore.
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We have created this page and it will be updated to add new solutions occasionally. Please stay in touch with this page.
</WRAP>$39x^7y^3z$$91x^5y^6 z^7$$102xy^2z$$85x^2yz$$187xyz^2$$39x^7y^3z=13\times 3\times x^7 y^3 z$$91x^5y^6 z^7=13\times 7\times x^5 y^6 z^7$$13 x^5y^3z$$102xy^2z=2\times 3\times 17 xy^2z$$85x^2yz=3\tim…text/html2025-01-21T16:14:00+00:00Anonymous (anonymous@undisclosed.example.com)Unit 02: Theory of Quadratic Equations: Online View
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Unit 02: Theory of Quadratic Equations: Online View
On this page the solutions of Unit 02: Theory of Quadratic Equations, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan.
List of all exercise of Unit 02text/html2025-01-21T16:14:01+00:00Anonymous (anonymous@undisclosed.example.com)Unit 03: Variations: Online View
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Unit 03: Variations: Online View
On this page the solutions of Unit 03: Variations, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan.
List of all exercise of Unit 03
* Exercise 3.1
* Exercise 3.2
* Exercise 3.3
* Exercise 3.4
* Exercise 3.5
* Exercise 3.6text/html2025-01-21T16:14:01+00:00Anonymous (anonymous@undisclosed.example.com)Unit 03: Variations: Online View
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Unit 03: Variations: Online View
On this page the solutions of Unit 03: Variations, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan.
List of all exercise of Unit 03
* Exercise 3.1
* Exercise 3.2
* Exercise 3.3
* Exercise 3.4
* Exercise 3.5
* Exercise 3.6text/html2025-01-21T16:14:01+00:00Anonymous (anonymous@undisclosed.example.com)Mathematics 9 (Science Group)
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Mathematics 9 (Science Group)
[Mathematics 9 (Science Group)]
Mathematics 9 is written by Dr. Karamat H. Dar and Prof. Irfan-ul-Haq and this book is published by Carvan Book House, Lahore, Pakistan. This book consist of 302 pages and there are 17 units. Notes of Unit 1 and 3 are provided by $ka + kb + kc$$ac + ad + bc + bd$$a^2 + 2ab + b^2$$a^2 – b^2$$a^2 + 2ab + b^2 – c^2$$a^4 + a^2b^2 + b^4$$a^4 + 4b^4$$x^2 + px + q$$ax^2 + bx + c$$(ax^2 + bx + c) (ax2 + bx + d) + k$$(x + a) (x + b) (x + c) …text/html2025-01-21T16:14:01+00:00Anonymous (anonymous@undisclosed.example.com)Exercise 2.1 (Solutions)
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Exercise 2.1 (Solutions)
Question 1
Identify which of the following are rational and irrational numbers:
(i) $\sqrt{3}$ (ii) $\frac{1}{6}$ (iii) $\pi$ (iv) $\frac{15}{2}$ (v) $7.25$ (vi)$\sqrt{29}$
Solution
* Rational: $\frac{1}{6}$, $\frac{15}{2}$, $7.25$
* Irrational: $\sqrt{3}$, $\pi$, $\sqrt{29}$
Question 2
Convert the following fraction into decimal fraction.$\frac{17}{25}$$\frac{19}{4}$$\frac{57}{8}$$\frac{205}{18}$$\frac{5}{8}$$\frac{25}{38}$$\frac{2}{3}$$\pi$$\frac{1}{9}$$\fr…text/html2025-01-21T16:14:01+00:00Anonymous (anonymous@undisclosed.example.com)Unit 02: Theory of Quadratic Equations: Online View
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Unit 02: Theory of Quadratic Equations: Online View
On this page the solutions of Unit 02: Theory of Quadratic Equations, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan.
List of all exercise of Unit 02text/html2025-01-21T16:14:00+00:00Anonymous (anonymous@undisclosed.example.com)Unit 01: Quadratic Equations: Online View
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Unit 01: Quadratic Equations: Online View
On this page the solutions of Unit 01: Quadratic Equations, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan.
List of all exercise of Unit 01
* Exercise 1.1
* Exercise 1.2
* Exercise 1.3text/html2025-01-21T16:14:01+00:00Anonymous (anonymous@undisclosed.example.com)Unit 04: Partial Fractions: Online View
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Unit 04: Partial Fractions: Online View
On this page the solutions of Unit 04: Partial Fractions, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan.
List of all exercise of Unit 04
* Exercise 4.1
* Exercise 4.2
* Exercise 4.3
*text/html2025-01-21T16:14:00+00:00Anonymous (anonymous@undisclosed.example.com)Unit 01: Quadratic Equations: Online View
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Unit 01: Quadratic Equations: Online View
On this page the solutions of Unit 01: Quadratic Equations, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan.
List of all exercise of Unit 01
* Exercise 1.1
* Exercise 1.2
* Exercise 1.3text/html2025-01-21T16:14:01+00:00Anonymous (anonymous@undisclosed.example.com)Unit 04: Partial Fractions: Online View
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Unit 04: Partial Fractions: Online View
On this page the solutions of Unit 04: Partial Fractions, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan.
List of all exercise of Unit 04
* Exercise 4.1
* Exercise 4.2
* Exercise 4.3
*text/html2025-01-21T16:14:01+00:00Anonymous (anonymous@undisclosed.example.com)Unit 05: Sets and Functions: Online View
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Unit 05: Sets and Functions: Online View
On this page the solutions of Unit 05: Sets and Functions, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan are given.
List of all exercise of Unit 05
* Exercise 5.1
*text/html2025-01-21T16:14:01+00:00Anonymous (anonymous@undisclosed.example.com)Unit 06: Basic Statistics: Online View
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Unit 06: Basic Statistics: Online View
On this page the solutions of Unit 06: Basic Statistics, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan are given.
List of all exercise of Unit 06
* Exercise 6.1
* Exercise 6.2
*text/html2025-01-21T16:14:01+00:00Anonymous (anonymous@undisclosed.example.com)Review exercise
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Review exercise
On the following page we have given the solution of Review exercise of Mathematics 9 (Science) published by Caravan Book House, Lahore.
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We have created this page and it will be updated to add new solutions occasionally. Please stay in touch with this page.
</WRAP>$x-2$$x^2+x-6$$x^2+x-6$$x+3$$x-2$$x+2$$c$$a^3+b^3$$a^2-ab+b^2$$a+b$$a^2-ab+b^2$$(a-b)^2$$a^2+b^2$$c$$x^2-5x+6$$x^2-x-6$$x-3$$x+2$$x^2-4$$x-2$$a$$a^2-b^2$$a^3-b^3$$a-b$$a+b$$a^2+ab+b^2$$a^2-a…text/html2025-01-21T16:14:01+00:00Anonymous (anonymous@undisclosed.example.com)Exercise 2.4 (Solutions)
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Exercise 2.4 (Solutions)
Question 1
Use law of exponent to simplify.
* (i) $\frac{(243)^{\frac{-2}{3}}(32)^{\frac{-1}{5}}}{\sqrt(196)^{-1}}$
* (ii) $\left(2x^5y^{-4}\right)\left(-8x^{-3}y^2\right)$
* (iii) $\left(\frac{x^{-2}y^{-1}z^{-4}}{x^4y^{-3}z^0}\right)^{-3}$
* (iv) $\frac{\left(81\right)^n.3^5-\left(3\right)^{4n-1}\left(243\right)}{\left(9^2n\right)\left(3^3\right)}$
Solution
(i)
$$\begin{array}{cl}
\begin{array}{cl}
\frac{(243)^{\frac{-2}{3}}(32)^{\frac{-1…text/html2025-01-21T16:14:01+00:00Anonymous (anonymous@undisclosed.example.com)General Mathematics 9
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General Mathematics 9
[General Mathematics 9th Class]
There are ten chapters in General Mathematics 9 for Punjab Textbook Board, Lahore. Solutions of all the chapters are given below. One can download the PDF file of the notes. Please remember that, to view these notes one must have PDF reader installed in their system. We will try our best to add online view of the notes very soon.text/html2025-01-21T16:14:01+00:00Anonymous (anonymous@undisclosed.example.com)Matric 9th (General): Online View
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Matric 9th (General): Online View
List of all chapters
* VIEW Unit 01: Percentage Ratio and Proportion
* VIEW Unit 02: Zakat, Ushr and Inheritance
* VIEW Unit 03: Business Mathematics
* VIEW Unit 04: Financial Mathematics
* VIEW Unit 05: Consumer Mathematics
* VIEW Unit 06: Exponents and Logarithms
* VIEW Unit 07: Arithmatic and Geometric Sequence
* VIEW Unit 08: Sets and Functions
* VIEW Unit 09: Linear Graphs
* VIEW Unit 10: Basic Statistic
matric 9th_generaltext/html2025-01-21T16:14:01+00:00Anonymous (anonymous@undisclosed.example.com)Exercise 6.2
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Exercise 6.2
On the following page we have given the solution of Exercise 6.2 of Mathematics 9 (Science) published by Caravan Book House, Lahore.
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</WRAP>$\frac{x^2-x-6}{x^2-9}+\frac{x^2+2x-24}{x^2-x-12}$\begin{align} \frac{x^2-x-6}{x^2-9}&+\frac{x^2+2x-24}{x^2-x-12}\\
&=\frac{x^2-3x+2x-6}{(x)^2-(3)^2}+\frac{x^2+6x-4x-24}{x^2-4x+3x-12}\\&= \frac{x(…