Taxonomy for Mathematics Articles-12th Class: Difference between revisions
From Vidyalayawiki
(updated page) |
(page updated) |
||
| (43 intermediate revisions by 4 users not shown) | |||
| Line 3: | Line 3: | ||
!Chapters | !Chapters | ||
!Topics | !Topics | ||
!'''Article Creator Name''' | |||
!'''अध्याय''' | !'''अध्याय''' | ||
!विषय | !विषय | ||
|- | |- | ||
|'''''PART-I''''' | |'''''PART-I''''' | ||
| | |||
| | | | ||
| | | | ||
| Line 14: | Line 16: | ||
|1 | |1 | ||
|Relations and Functions | |Relations and Functions | ||
|Types of Relations | |[[Types of Relations]] | ||
|English:Dr Vinamra & | |||
Ramamurthy | |||
Hindi: | |||
Mani | |||
|संबंध और फलन | |संबंध और फलन | ||
|[[संबंधों के प्रकार]] | |[[संबंधों के प्रकार]] | ||
| Line 20: | Line 27: | ||
| | | | ||
| | | | ||
|Types of Functions | |[[Types of Functions]] | ||
|English:Dr Vinamra & | |||
Ramamurthy | |||
Hindi: | |||
Mani | |||
| | | | ||
|[[फलनों के प्रकार]] | |[[फलनों के प्रकार]] | ||
| Line 26: | Line 38: | ||
| | | | ||
| | | | ||
|Composition of Functions and Invertible Function | |[[Composition of Functions and Invertible Function]] | ||
|English:Dr Vinamra & | |||
Ramamurthy | |||
Hindi: Mani | |||
| | | | ||
|[[फलनों | |[[फलनों का संयोजन तथा व्युत्क्रमणीय फलन]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Binary Operations | |[[Binary Operations]] | ||
|English:Dr Vinamra & | |||
Ramamurthy | |||
Hindi: | |||
Mani | |||
| | | | ||
|[[द्वि-आधारी संक्रियाएँ]] | |[[द्वि-आधारी संक्रियाएँ]] | ||
| Line 39: | Line 60: | ||
| | | | ||
|Relations | |Relations | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[संबंध]] | |[[संबंध]] | ||
| Line 45: | Line 68: | ||
| | | | ||
|Functions | |Functions | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[फलन]] | |[[फलन]] | ||
|- | |- | ||
|2 | |2 | ||
|Inverse Trignometric Functions | |Inverse Trignometric Functions | ||
|Basic Concepts | |Basic Concepts | ||
|Mani | |||
|प्रतिलोम त्रिकोणमितीय फलन | |प्रतिलोम त्रिकोणमितीय फलन | ||
|[[आधारभूत संकल्पनाएँ]] | |[[आधारभूत संकल्पनाएँ]] | ||
| Line 63: | Line 83: | ||
| | | | ||
|Properties of Inverse Trigonometric Functions | |Properties of Inverse Trigonometric Functions | ||
|Mani | |||
| | | | ||
|[[प्रतिलोम त्रिकोणमितीय फलनों के गुणधर्म]] | |[[प्रतिलोम त्रिकोणमितीय फलनों के गुणधर्म]] | ||
| Line 69: | Line 90: | ||
| | | | ||
|Inverse of a function | |Inverse of a function | ||
|Mani | |||
| | | | ||
|[[फलन का प्रतिलोम]] | |[[फलन का प्रतिलोम]] | ||
|- | |- | ||
|3 | |3 | ||
|Matrices | |Matrices | ||
|Matrix | |Matrix | ||
|Ramamurthy | |||
Mani | |||
|आव्यूह | |आव्यूह | ||
|[[आव्यूह]] | |[[आव्यूह]] | ||
| Line 87: | Line 105: | ||
| | | | ||
|Types of Matrices | |Types of Matrices | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[आव्यूहों के प्रकार]] | |[[आव्यूहों के प्रकार]] | ||
| Line 93: | Line 113: | ||
| | | | ||
|Operations on Matrices | |Operations on Matrices | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[आव्यूहों पर संक्रियाएँ]] | |[[आव्यूहों पर संक्रियाएँ]] | ||
| Line 99: | Line 121: | ||
| | | | ||
|Transpose of a Matrix | |Transpose of a Matrix | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[आव्यूह का परिवर्त]] | |[[आव्यूह का परिवर्त]] | ||
| Line 105: | Line 129: | ||
| | | | ||
|Symmetric and Skew Symmetric Matrices | |Symmetric and Skew Symmetric Matrices | ||
|Mani | |||
| | | | ||
|[[सममित तथा विषम सममित आव्यूह]] | |[[सममित तथा विषम सममित आव्यूह]] | ||
| Line 111: | Line 136: | ||
| | | | ||
|Elementary Operation(Transformation) of a Matrix | |Elementary Operation(Transformation) of a Matrix | ||
|Mani | |||
| | | | ||
|[[आव्यूह पर प्रारंभिक संक्रिया(आव्यूह रूपांतरण)]] | |[[आव्यूह पर प्रारंभिक संक्रिया(आव्यूह रूपांतरण)]] | ||
| Line 117: | Line 143: | ||
| | | | ||
|Invertible Matrices | |Invertible Matrices | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[व्युत्क्रमणीय आव्यूह]] | |[[व्युत्क्रमणीय आव्यूह]] | ||
| Line 123: | Line 151: | ||
| | | | ||
|Order of a matrix | |Order of a matrix | ||
|Mani | |||
| | | | ||
|[[आव्यूह की कोटि]] | |[[आव्यूह की कोटि]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Negative of a matrix | |Negative of a matrix | ||
|Mani | |||
| | | | ||
|[[आव्यूह का ऋण आव्यूह]] | |[[आव्यूह का ऋण आव्यूह]] | ||
| Line 177: | Line 165: | ||
| | | | ||
|Difference of matrices | |Difference of matrices | ||
|Mani | |||
| | | | ||
|[[आव्यूहों का अंतर]] | |[[आव्यूहों का अंतर]] | ||
|- | |- | ||
|4 | |4 | ||
|Determinants | |Determinants | ||
|Determinant | |Determinant | ||
|Ramamurthy | |||
Mani | |||
|सारणिक | |सारणिक | ||
|[[सारणिक]] | |[[सारणिक]] | ||
| Line 201: | Line 180: | ||
| | | | ||
|Properties of Determinants | |Properties of Determinants | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[सारणिकों के गुणधर्म]] | |[[सारणिकों के गुणधर्म]] | ||
| Line 206: | Line 187: | ||
| | | | ||
| | | | ||
|Area of a Triangle | |Area of a Triangle - Determinants | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[त्रिभुज का क्षेत्रफल]] | |[[त्रिभुज का क्षेत्रफल - सारणिक]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Minors and Cofactors | |Minors and Cofactors | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[उपसारणिक और सहखंड]] | |[[उपसारणिक और सहखंड]] | ||
| Line 219: | Line 204: | ||
| | | | ||
|Adjoint and Inverse of a Matrix | |Adjoint and Inverse of a Matrix | ||
|Ramamurthy | |||
Mani | |||
| | | | ||
|[[आव्यूह के सहखंडज और व्युत्क्रम]] | |[[आव्यूह के सहखंडज और व्युत्क्रम]] | ||
| Line 225: | Line 212: | ||
| | | | ||
|Application of Determinants and Matrices | |Application of Determinants and Matrices | ||
|Mani | |||
| | | | ||
|[[सारणिकों और आव्यूहों के अनुप्रयोग]] | |[[सारणिकों और आव्यूहों के अनुप्रयोग]] | ||
|- | |- | ||
|5 | |5 | ||
|Continuity and Differentiablity | |Continuity and Differentiablity | ||
|Continuity | |Continuity | ||
|Mani | |||
|सांतत्य तथा अवकलनीयता | |सांतत्य तथा अवकलनीयता | ||
|[[सांतत्य]] | |[[सांतत्य]] | ||
| Line 255: | Line 226: | ||
| | | | ||
|Differentiability | |Differentiability | ||
|Mani | |||
| | | | ||
|[[अवकलनीयता]] | |[[अवकलनीयता]] | ||
| Line 261: | Line 233: | ||
| | | | ||
|Exponential and Logarithmic Functions | |Exponential and Logarithmic Functions | ||
|Mani | |||
| | | | ||
|[[चरघातांकी तथा लघूगणकीय फलन]] | |[[चरघातांकी तथा लघूगणकीय फलन]] | ||
| Line 267: | Line 240: | ||
| | | | ||
|Logarithmic Differentiation | |Logarithmic Differentiation | ||
|Mani | |||
| | | | ||
|[[लघूगणकीय अवकलन]] | |[[लघूगणकीय अवकलन]] | ||
| Line 273: | Line 247: | ||
| | | | ||
|Derivatives of Functions in Parametric Forms | |Derivatives of Functions in Parametric Forms | ||
|Mani | |||
| | | | ||
|[[फलनों के प्राचलिक रूपों के अवकलज]] | |[[फलनों के प्राचलिक रूपों के अवकलज]] | ||
| Line 279: | Line 254: | ||
| | | | ||
|Second Order Derivative | |Second Order Derivative | ||
|Mani | |||
| | | | ||
|[[द्वितीय कोटि का अवकलज]] | |[[द्वितीय कोटि का अवकलज]] | ||
| Line 285: | Line 261: | ||
| | | | ||
|Mean Value Theorem | |Mean Value Theorem | ||
|Mani | |||
| | | | ||
|[[माध्यमान प्रमेय]] | |[[माध्यमान प्रमेय]] | ||
|- | |- | ||
| | | | ||
| | | | ||
|Rolle's theorem | |Rolle's theorem | ||
|Mani | |||
| | | | ||
|[[रोले का प्रमेय]] | |[[रोले का प्रमेय]] | ||
|- | |- | ||
|6 | |6 | ||
|Application of Derivatives | |Application of Derivatives | ||
|Rate of Change of Quantities | |Rate of Change of Quantities | ||
|Mani | |||
|अवकलज के अनुप्रयोग | |अवकलज के अनुप्रयोग | ||
|[[राशियों के परिवर्तन की दर]] | |[[राशियों के परिवर्तन की दर]] | ||
| Line 327: | Line 282: | ||
| | | | ||
|Increasing and Decreasing Functions | |Increasing and Decreasing Functions | ||
|Mani | |||
| | | | ||
|[[वर्धमान और ह्रासमान फलन]] | |[[वर्धमान और ह्रासमान फलन]] | ||
| Line 333: | Line 289: | ||
| | | | ||
|Tangents and Normals | |Tangents and Normals | ||
|Mani | |||
| | | | ||
|[[स्पर्श रेखाएँ और अभिलंब]] | |[[स्पर्श रेखाएँ और अभिलंब]] | ||
| Line 339: | Line 296: | ||
| | | | ||
|Approximations | |Approximations | ||
|Mani | |||
| | | | ||
|[[सन्निकटन]] | |[[सन्निकटन]] | ||
| Line 345: | Line 303: | ||
| | | | ||
|Maxima and Minima | |Maxima and Minima | ||
|Mani | |||
| | | | ||
|[[उच्चतम और निम्नतम]] | |[[उच्चतम और निम्नतम]] | ||
|- | |- | ||
|'''''PART-II''''' | |||
| | | | ||
| | | | ||