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- Mathematics 10 (Science Group)
- 00x315|Matric Science 10th Book Cover}} The notes/solutions, definitions, MCQs and important question f... ll learn how to * define quadratic equation * solve a quadratic equation in one variable by factorization * solve a quadratic equation in one variable by complet... ormula by using method of completing squaire. * solve a quadratic equation by using quadratic formula
- Exercise 6.2 @matric:9th_science
- .2 ====== On the following page we have given the solution of Exercise 6.2 of Mathematics 9 (Science) p... eated this page and it will be updated to add new solutions occasionally. Please stay in touch with thi... x^2-x-6}{x^2-9}+\frac{x^2+2x-24}{x^2-x-12}$\\ **Solution:**\\ $\begin{align} \frac{x^2-x-6}{x^2-9}&... }-\frac{4x}{x^2+1}\right]+\frac{4x}{x^4-1}$\\ **Solution:**\\ $\begin{align} \left[\frac{x+1}{x-1}-
- Exercise 4.1 @matric:9th_science
- .1 ====== On the following page we have given the solution of Exercise 4.1 of Mathematics 9 (Science) p... eated this page and it will be updated to add new solutions occasionally. Please stay in touch with thi... ^2-3x+\sqrt{2}$\\ (iv) $\frac{3x}{2x-1}+8$\\ **Solution:** (i) $3x^2+\frac{1}{x}-5$\\ $No (Reaso... \\ (iv) $\frac{2\sqrt{x}+3}{2\sqrt{x}-3}$\\ **Solution:**\\ (i) $3x^2+\frac{1}{x}-5$\\ $No (Rea
- Exercise 6.1 @matric:9th_science
- .1 ====== On the following page we have given the solution of Exercise 6.1 of Mathematics 9 (Science) p... eated this page and it will be updated to add new solutions occasionally. Please stay in touch with thi... \ (ii) $102xy^2z$, $85x^2yz$ and $187xyz^2$ \\ **Solution:** (i) $39x^7y^3z=13\times 3\times x^7 y^3 ... +2)$\\ (v) $36(3x^4+5x^3-2x^2)$, $54(27x^4-x)$ **Solution:**\\ (i) $\begin{align} x^2+5x+6&=x^2+3x+
- Exercise 6.3 @matric:9th_science
- .3 ====== On the following page we have given the solution of Exercise 6.3 of Mathematics 9 (Science) p... eated this page and it will be updated to add new solutions occasionally. Please stay in touch with thi... -3)(2X^2+11x-21)$\\ (i) $4x^2-12xy +9y^2$\\ **Solution:**\\ $\begin{align}4x^2-12xy +9y^2\\&=4x... gn}$ (ii) $x^2-1+\frac{1}{4x^2}, (x\neq 0)$\\ **Solution:**\\ $\begin{align}x^2-1+\frac{1}{4x^2}\\
- Exercise 2.6 (Solutions) @matric:9th_science:unit_02
- =======Exercise 2.6 (Solutions)======== ====Question 1==== Identify the following statements as true or... jugate is always a non-negative real number.\\ **Solution**\\ (i) False (ii) False (iii) True (iv... 9i)$ (iv) $2i^2+6i^3+3i^{16}-6i^{19}+4i^{25}$ **Solution**\\ (i) $$\begin{array}{cl} (2+3i)+(7-2i) ... }}-3i)^2$\\ (iv) $(2-3i){\overline{(3-2i)}}$\\ **Solution**\\ (i) $$\begin{array}{cl} (-7+3i)(-3+2i)
- Review exercise @matric:9th_science
- se ====== On the following page we have given the solution of Review exercise of Mathematics 9 (Science... eated this page and it will be updated to add new solutions occasionally. Please stay in touch with thi... g by factorization. $8x^4-128$ , $12x^3-96$\\ **Solution:**\\ $\begin{align}8x^4-128 &= 8(x^4-16)... on.\\ $12x^2-75, 6x^2-13x-5, 4x^2-20x+25$\\ **Solution:**\\ $\begin{align}12x^2-75 &= 3(4x^2-25)
- Exercise 2.1 (Solutions) @matric:9th_science:unit_02
- ====== Exercise 2.1 (Solutions) ====== ====Question 1==== Identify which of the following are rational... iv) $\frac{15}{2}$ (v) $7.25$ (vi)$\sqrt{29}$ **Solution**\\ * Rational: $\frac{1}{6}$, $\frac{15}... 18}$ (v) $\frac{5}{8}$ (vi) $\frac{25}{38}$ **Soluation**\\ * (i) o.68 * (ii) 4.75 * (iii) 7... * (v) $\frac{4}{5}$ is a recurring fraction. **Soluaton**\\ * (i) $\frac{2}{3}$ is an irrational
- Mathematics 9 (Science Group)
- notes are prepared by Mr. [[:people:moin]]. * Solutions | {{ :matric:9th_science:ch01-matric-scienc... ry thankful to him for sending these notes. * Solutions | {{ :matric:9th-science-unit02-ptb-amir-sh... ]]. MCQs are made by Mr. [[:people:amir]] * Solutions | {{ :matric:9th_science:ch03-matric-scienc... ints * Apply distance and mid point formulae to solve/verify different standard results related to ge
- Exercise 2.5 (Solutions) @matric:9th_science:unit_02
- =======Exercise 2.5 (Solutions)======== ====Question 1==== * Evaluate (i) $i^7$ ... (vi) $i^{27}$ **Solution**\\ (i) $$\begin{array}{cl} i^7 &= {i^6}\cd... -3 + 4i$ (v) $-4 - i$ (vi) $i - 3$ **Solution**\\ (i) $$\begin{array}{cl} z = 2 + 3i\\ \b... (v) $-3i$ * (vi) $2 + 0i$ **Solution**\\ (i) $$\begin{array}{cl} z = 1 + i\\ Re(
- Exercise 11.1 (Solutions) @matric:9th_science:unit11
- ====== Exercise 11.1 (Solutions) ====== On this page solutions of Exercise of Unit 11: Parallelograms and Triangles of Mathemati... ven. There are two questions in this exercise and solution of both the questions are given below. <grid... Find the measures of its remaining angles.** **Solution:**\\ {{ :matric:9th_science:unit11:ex11-1-9t
- Exercise 2.2 (Solutions) @matric:9th_science:unit_02
- =======Exercise 2.2 (Solutions)======== ====Question 1==== Identify the property used in the following,... a > b \Rightarrow ac > bc? (c >0)$ ... ... ... **Solution**\\ * (i) $a + b = b + a$ ... ...... ... \ &= 3y ... ... ... (iv) \end{array} $$ **Solution**\\ * (i) Distributive property of multip... \left(\frac{-8}{5} \right ) = 1$ ... ... .... **Soluton**\\ * (i) Additive identity. * (ii) Dist
- Exercise 2.3 (Solutions) @matric:9th_science:unit_02
- =======Exercise 2.3 (Solutions)======== ====Question 1==== Write each radical expression in exponential... * (iv) $y^\frac{-2}{3}$\\ **Solution**\\ * (i) $\sqrt[3]{-64} = -64^\frac{1}{3}$... * (iv) $\sqrt[3]{x}^{27} = x^3$\\ **Solution**\\ * (i) False * (ii) True * (iii... ac{3}{32}}$ * (iv) $\sqrt[3]{\frac{-8}{27}}$ **Soluton**\\ (i) $$\begin{array}{cl} \sqrt[3]{-1
- Exercise 2.4 (Solutions) @matric:9th_science:unit_02
- =======Exercise 2.4 (Solutions)======== ====Question 1==== Use law of exponent to simplify. * (i) $\... 43\right)}{\left(9^2n\right)\left(3^3\right)}$ **Solution**\\ (i) $$\begin{array}{cl} \begin{array}{... \times\left(\frac{x^c}{x^a}\right )^{c+a}= 1$$ **Solution**\\ $$\begin{array}{cl} \left(x^{a-b}\right)... )^3$ *(iv) $\left(x^3 \right )^2\div{x^3}^2$ **Soluton**\\ (i) $$\begin{array}{cl} \frac{2^{1/3}\le
- Unit 08: Linear Graph and their Application: Online View @matric:9th_science:unit08
- Application: Online View ====== On this page the solutions of Unit 08: Linear Graph and their Applicat... it08:viewer?f=ex8-1-9th-science-ptb|Exercise 8.1 (Solutions)]] * [[:matric:9th_science:unit08:viewer?f=ex8-2-9th-science-ptb|Exercise 8.2 (Solutions)]] * [[:matric:9th_science:unit08:viewer?f=ex8-3-9th-science-ptb|Exercise 8.3 (Solutions)]]