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        <title>MathCity.org</title>
        <description>Merging man &amp; maths</description>
        <link>https://www.mathcity.org/</link>
        <lastBuildDate>Tue, 09 Jun 2026 14:46:30 +0000</lastBuildDate>
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            <title>MathCity.org</title>
            <link>https://www.mathcity.org/</link>
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        <item>
            <title>Unit 06: Conic Section</title>
            <link>https://www.mathcity.org/fsc/fsc_part_2_solutions/ch06</link>
            <description>Unit 06: Conic Section

[Unit 06: Conic Section]

Notes (Solutions) of Unit 06: Conic Section, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:47:08 +0000</pubDate>
        </item>
        <item>
            <title>Unit 02: Differentiation</title>
            <link>https://www.mathcity.org/fsc/fsc_part_2_solutions/ch02</link>
            <description>Unit 02: Differentiation

[Unit 02: Differentiation]
Notes (Solutions) of Unit 02: Differentiation, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.$f&#039;(x)$$x^n$$n \in \mathbb{Z}$$\frac{x+1}{x-1}$$x$$$
\begin{aligned}
\frac{d}{dx}\left(\frac{x+1}{x-1}\right) &amp;= \frac{(x-1)\frac{d}{dx}(x…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:47:05 +0000</pubDate>
        </item>
        <item>
            <title>Unit 03: Integration</title>
            <link>https://www.mathcity.org/fsc/fsc_part_2_solutions/ch03</link>
            <description>Unit 03: Integration

[Unit 03: Integration]
Notes (Solutions) of Unit 03: Integration, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.$dy$$\delta{y}$$[f(x)]^n f&#039;(x)$$[f(x)]^{-1}f&#039;(x)$</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sat, 03 Jun 2023 17:25:33 +0000</pubDate>
        </item>
        <item>
            <title>MCQs by Muhammad Imran Qureshi</title>
            <link>https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi</link>
            <description>MCQs by Muhammad Imran Qureshi

	*  Calculus and Analytic Geometry, MATHEMATICS 12 (Punjab Textbook Board, Lahore)
 Unit 01  View Online   Download PDF (78KB)  Unit 01: Key  Unit 02 View Online   Download PDF (71KB)  Unit 02: Key  Unit 03  View Online   Download PDF (67KB)  Unit 03: Key  Unit 04  View Online   Download PDF (50KB)  Unit 04: Key  Unit 05  View Online   Download PDF (49KB)  Unit 05: Key  Unit 06  View Online   Download PDF (58KB)</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:46:42 +0000</pubDate>
        </item>
        <item>
            <title>MCQs by Nauman Idrees</title>
            <link>https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees</link>
            <description>MCQs by Nauman Idrees

	*  Calculus and Analytic Geometry, MATHEMATICS 12 (Punjab Textbook Board, Lahore)
 ARW Unit 01  View Online   Download PDF (48KB)   Unit 01: Key   ARW Unit 02  View Online   Download PDF (62KB)  Unit 02: Key   ARW Unit 03  View Online   Download PDF (72KB)  Unit 03: Key   ARW Unit 04  View Online   Download PDF (48KB)  Unit 04: Key   ARW Unit 05  View Online   Download PDF (52KB)  Unit 05: Key   ARW</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:46:43 +0000</pubDate>
        </item>
        <item>
            <title>Unit 01: Functions and Limits</title>
            <link>https://www.mathcity.org/fsc/fsc_part_2_solutions/ch01</link>
            <description>Unit 01: Functions and Limits

[Unit 01: Functions and Limits]
Notes (Solutions) of Unit 01: Functions and Limits, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are five exercises in this chapter. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from $\lim_{x\to a}\frac{x^n-a^n}{x-a} = na^{n-1}$$\lim_{x\to0}\frac{\sqrt{x+a} - \sqrt{a}}{x} = \frac{…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sat, 03 Jun 2023 16:30:56 +0000</pubDate>
        </item>
        <item>
            <title>Unit 04: Introduction to Analytic Geometry</title>
            <link>https://www.mathcity.org/fsc/fsc_part_2_solutions/ch04</link>
            <description>Unit 04: Introduction to Analytic Geometry

[Unit 01: Functions and Limits]
Notes (Solutions) of Unit 04: Introduction to Analytic Geometry, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.$ax^2+ 2hxy+by^2=0$</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:47:07 +0000</pubDate>
        </item>
        <item>
            <title>Unit 07: Vectors</title>
            <link>https://www.mathcity.org/fsc/fsc_part_2_solutions/ch07</link>
            <description>Unit 07: Vectors

[Unit 07: Vectors]

Notes (Solutions) of Unit 07: Vectors, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.$u\cdot v$$u\times v$$u\cdot(v\times w)$</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Thu, 25 Mar 2021 17:27:32 +0000</pubDate>
        </item>
        <item>
            <title>Unit 05: Linear Inequalities and Linear Programming</title>
            <link>https://www.mathcity.org/fsc/fsc_part_2_solutions/ch05</link>
            <description>Unit 05: Linear Inequalities and Linear Programming

[Unit 05: Linear Inequalities and Linear Programming]
Notes (Solutions) of Unit 05: Linear Inequalities and Linear Programming, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:47:08 +0000</pubDate>
        </item>
        <item>
            <title>FSc Part 2 Model Papers</title>
            <link>https://www.mathcity.org/fsc/fsc_part_2_model_papers</link>
            <description>FSc Part 2 Model Papers

Federal Board of Intermediate &amp; Secondary Education, Islamabad
 ARW 1st Model Paper 2009   View Online  Download PDF (84KB)   ARW Official Model Paper (with solution)   Download PDF (233KB)  
Board of Intermediate &amp; Secondary Education.

All the boards in Punjab expect Federal Board have the same paper pattern.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:42:48 +0000</pubDate>
        </item>
        <item>
            <title>Old Papers (FSc Part 2)</title>
            <link>https://www.mathcity.org/fsc/fsc_part_2_old_papers</link>
            <description>Old Papers (FSc Part 2)

Federal Board of Intermediate &amp; Secondary Education, Islamabad

The special page has been created for Federal Board:

	*  Old Question Papers/Model Papers HSSC-II (FSc-II): FBISE

Board of Intermediate &amp; Secondary Education.

(All the boards have same paper pattern in Punjab excluding Federal Board)
These papers can be used as a model paper for other board (e.g. Multan Board, Faisalabad Board, Sargodha Board, Gujranwala Board, DG Khan Board, Rawalpindi Board etc)</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:42:49 +0000</pubDate>
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        <item>
            <title>Definitions: FSc Part 2 (Mathematics): PTB</title>
            <link>https://www.mathcity.org/fsc-part2-ptb/definitions</link>
            <description>Definitions: FSc Part 2 (Mathematics): PTB

On this page, all the definitions of “Calculus and Analytic Geometry, MATHEMATICS 12” (Mathematics FSc Part 2 or HSSC-II), Punjab Textbook Board (PTB) Lahore, Pakistan are given. We are very thankful to $A=x^2$$f:X\to Y$$X$$f:X\to Y$$y$$Y$$y=ax+b$$x$$y$$f(x)=2x-6$$p(x) = {a_n}{x^n} + {a_{n - 1}}{x^{n - 1}} + {a_{n - 2}}{x^{n - 2}} + ... + {a_1}x + {a_0}$${a_0},\,{a_1},\,{a_2},...,{a_n}$$f(x)=ax+b$$X$$I:X\to X$$X$$Y$$C:X \rightarrow Y$$C(x)=a$$x \in X$$…</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 20 Oct 2024 18:16:52 +0000</pubDate>
        </item>
        <item>
            <title>MCQs-Short Questions by Mr. Parvez Khan</title>
            <link>https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs-short_questions_by_mr._parvez_khan</link>
            <description>MCQs-Short Questions by Mr. Parvez Khan

	*  MCQs and Short Question by Mr. Parvez Khan composed by Momin Ali: Calculus and Analytic Geometry, MATHEMATICS 12 (Punjab Textbook Board, Lahore). Answers are given at page 32.</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:46:42 +0000</pubDate>
        </item>
        <item>
            <title>Important Derivatives &amp; Integrals</title>
            <link>https://www.mathcity.org/fsc/fsc_part_2_important_derivatives_integrals</link>
            <description>Important Derivatives &amp; Integrals</description>
            <author>anonymous@undisclosed.example.com (Anonymous)</author>
            <pubDate>Sun, 07 Feb 2021 16:42:44 +0000</pubDate>
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