[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-116011-en":3,"doc-seo-116011-105":31,"detail-sidebar-cat-0-en-105":92},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":21,"is_downloadable":21,"audit_status":21,"page_count":22,"language":23,"language_code":24,"site_id":25,"html_lang":24,"table_of_contents":26,"faqs":27,"seo_title":28,"seo_description":14,"update_tm":29,"read_time":30},116011,962085564549,"Genevieve","https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45",4,"Exam","Mathematics Today - Volume 44 - No. 7 - July 2026 - Solved Paper","Mathematics Today (Volume 44, No. 7, July 2026) presents a structured JEE/entrance-style Mathematics solved paper with marking schemes and multi-option questions. Paper-I includes two sections, specifying four-question formats with either single-correct or multiple-correct choices, and detailed evaluation rules for full, zero, and negative marks where applicable. The content covers functions and calculus, tangent slopes on curves, matrix row-transformations, principal values of inverse trigonometric expressions, and supports step-by-step solution preparation for competitive learners.","Disclaimer : The content available in MTG digital/physical books is intellectual property of MTG Learning Media Pvt Ltd. Paid content on this website after purchase is not entitled for free distribution on whatsapp, telegram, twitter, facebook, and all other social media and digital channels. The registered owner/admin/ individual of any digital channel will be liable for an infringement of the copyright for illegally using the material / copyrighted content of MTG Learning Media Pvt Ltd.  \nSubscribe online at [www.mtg.in](www.mtg.in)  \n\n| SUBSCRIPTION PLAN |  |  |  |  |\n| --- | --- | --- | --- | --- |\n| Subject | Format | 1 Year | 2 Years | 3 Years |\n| Individual\u003Cbr>Physics  Chemistry\u003Cbr>Mathematics  Biology | Print issue | `749/ - | `1349/ - | `1799/ - |\n|  | Print + Digital | `1150/ - | `1850/ - | `2400/ - |\n| Combo of 3 Magazines\u003Cbr>Physics, Chemistry, Biology\u003Cbr>Physics, Chemistry, Mathematics | Print issue | `2200/ - | `4000/ - | `5400/ - |\n|  | Print + Digital | `3000/ - | `5000/ - | `6600/ - |\n| Combo of 4 Magazines\u003Cbr>Physics, Chemistry, Mathematics, Biology | Print issue | `2800/ - | `5200/ - | `6300/ - |\n|  | Print + Digital | `3800/ - | `6399/ - | `7800/ - |\n| Courier Charges\u003Cbr>Add to your subscription amount for quicker & traceable delivery |  | `800/ - | `960/ - | `1440/ - |\n\nPrinted and Published by Mahabir Singh on behalf of MTG Learning Media Pvt. Ltd. Printed at HT Media Ltd., B-2, Sector-63, Noida, UP-201307 and published at 406, Taj Apartment, Ring Road, Near Safdarjung Hospital, New Delhi-110029. Editor : Anil Ahlawat  \nReaders are advised to make appropriate thorough enquiries before acting upon any advertisement published in this magazine. Focus/ Infocus features are marketing incentives. MTG does not vouch or subscribe to the claims and representations made by advertisers. All disputes are subject to Delhi jurisdiction only.  \nCopyright© MTG Learning Media (P) Ltd.  \nAll rights reserved. Reproduction in any form is prohibited.  \nVOLUME 44 No. 7 July 2026  \n\n|  | \u003Cbr> |\n| --- | --- |\n\nCompetition Edge  \nJEE Advanced Solved Paper 2026 9  \nAP EAPCET Solved Paper 2026 22  \nWB JEE Solved Paper 2026 34  \nQuiz Club 46  \nMaths in Focus 47  \nTrigonometry  \nChallenging Problems 57 You Ask We Answer 60 Infinite Learning 61 Quantitative Aptitude 84 Brain Teaser 88  \nGK Corner 91 Class 11  \nCBSE Warm-up! 62 Complex Numbers and Quadratic Equations  \nMonthly Test Drive 70  \nTrigonometric Functions  \nConcept Map 50  \nTrigonometric Functions  \nClass 12 CBSE Warm-up! 72  \nMatrices and Determinants  \nMonthly Test Drive 82  \nMatrices and Determinants  \nConcept Map 51  \nInverse Trigonometric Functions  \nMATHEMATICS TODAY |   7  \n8  MATHEMATICS TODAY |   \nSOLVED PAPER  \nPAPER-I  \nSECTION-1 (MAXIMUM MARKS : 12)  \n• This section contains FOUR (04) questions.  \n• Each question has FOUR options (a), (b), (c) and (d). ONLY ONE of these four options is the correct answer.  \n• For each question, choose the option corresponding to the correct answer.  \n• Answer to each question will be evaluated according to the following marking scheme:  \nFull Marks : +3 If ONLY the correct option is chosen;  \nZero Marks : 0 If none of the options is chosen (i.e. the question is unanswered);  \nNegative Marks : −1 In all other cases.  \n1. Consider the functionf : (0, ∞) → (−∞, ∞) given by f (x) = x loge (x) − x +1 .  \nThen which one of the following statements is TRUE ?  \n(a) The derivative of the function f is decreasing in the interval (0, 1)  \n(b) The function f has a local maximum at some point a ∈(0, ∞)  \n(c) The function f has a local minimum at some point b ∈(0, ∞)  \n(d) The function f has NEITHER a point of local maximum NOR a point of local minimum in the interval (0, ∞)  \n2. Let P be the point on the parabola y = x2 such that the slope of the tangent to the parabola at the point P is 4. Let Q be the point in the first quadrant lying on the circle x2 + y2 = 2 such that the slope of the tangent to the circle at the point Q is −1. Let R beth","cbCaib5YgV9DrJ2e","https://ap.wps.com/l/cbCaib5YgV9DrJ2e","pdf",42073021,11,1,100,"English","en",105,"# Competition Edge\n## Solved Paper 2026\n## Quiz Club\n## Maths in Focus\n## Trigonometry\n## Challenging Problems\n## You Ask We Answer\n## Infinite Learning\n## Quantitative Aptitude\n## Brain Teaser\n## GK Corner\n## Class 11 CBSE Warm-up!\n## Complex Numbers and Quadratic Equations\n\n# SOLVED PAPER\n## PAPER-I - SECTION-1 (Maximum Marks: 12)\n## PAPER-I - SECTION-2 (Maximum Marks: 16)","[{\"question\":\"How many questions are in Section-1 of Paper-I, and how are they evaluated?\",\"answer\":\"Section-1 contains four questions, each with four options where only one is correct. Evaluation uses +3 for choosing only the correct option, 0 for unanswered (none chosen), and −1 otherwise.\"},{\"question\":\"What is the option-correctness rule for Section-2 of Paper-I?\",\"answer\":\"Section-2 also has four questions, but one or more of the four options can be correct. Students must select all correct options, with full marks only if all correct options are chosen.\"},{\"question\":\"What topics are addressed in the sample questions of the solved paper?\",\"answer\":\"The provided questions include properties of the function f(x)=x loge(x)−x+1, tangent slope geometry on parabola/circle/ellipse, matrices obtained via elementary row transformations, and expressions involving inverse trigonometric principal values.\"}]","Mathematics Today - Volume 44 - No. 7 - July 2026 - Solved Paper | PDF",1785479766,252,{"code":4,"msg":32,"data":33},"ok",{"site_id":25,"language":24,"slug":34,"title":13,"keywords":35,"description":14,"schema_data":36,"social_meta":87,"head_meta":89,"extra_data":91,"updated_unix":29},"mathematics-today-volume-44-no-7-july-2026-solved-paper","",{"@graph":37,"@context":86},[38,54,69],{"@type":39,"itemListElement":40},"BreadcrumbList",[41,45,49,52],{"item":42,"name":43,"@type":44,"position":21},"https://docshare.wps.com","Home","ListItem",{"item":46,"name":47,"@type":44,"position":48},"https://docshare.wps.com/document/","Document",2,{"item":50,"name":12,"@type":44,"position":51},"https://docshare.wps.com/document/exam/",3,{"item":53,"name":13,"@type":44,"position":11},"https://docshare.wps.com/document/mathematics-today-volume-44-no-7-july-2026-solved-paper/116011/",{"url":53,"name":13,"@type":55,"author":56,"headline":13,"publisher":58,"fileFormat":61,"inLanguage":24,"description":14,"dateModified":62,"datePublished":63,"encodingFormat":61,"isAccessibleForFree":64,"interactionStatistic":65},"DigitalDocument",{"name":9,"@type":57},"Person",{"url":42,"name":59,"@type":60},"DocShare","Organization","application/pdf","2026-08-25","2026-07-31",true,{"@type":66,"interactionType":67,"userInteractionCount":20},"InteractionCounter",{"@type":68},"ViewAction",{"@type":70,"mainEntity":71},"FAQPage",[72,78,82],{"name":73,"@type":74,"acceptedAnswer":75},"How many questions are in Section-1 of Paper-I, and how are they evaluated?","Question",{"text":76,"@type":77},"Section-1 contains four questions, each with four options where only one is correct. Evaluation uses +3 for choosing only the correct option, 0 for unanswered (none chosen), and −1 otherwise.","Answer",{"name":79,"@type":74,"acceptedAnswer":80},"What is the option-correctness rule for Section-2 of Paper-I?",{"text":81,"@type":77},"Section-2 also has four questions, but one or more of the four options can be correct. Students must select all correct options, with full marks only if all correct options are chosen.",{"name":83,"@type":74,"acceptedAnswer":84},"What topics are addressed in the sample questions of the solved paper?",{"text":85,"@type":77},"The provided questions include properties of the function f(x)=x loge(x)−x+1, tangent slope geometry on parabola/circle/ellipse, matrices obtained via elementary row transformations, and expressions involving inverse trigonometric principal values.","https://schema.org",{"og:url":53,"og:type":88,"og:title":13,"og:site_name":59,"og:description":14},"article",{"robots":90,"canonical":53},"index,follow",{"doc_id":7,"site_id":25},{"code":4,"msg":5,"data":93},[94,98,102,105,110,115,120,125,130,133,137],{"id":21,"doc_module":4,"doc_module_name":47,"category_name":95,"show_sort_weight":96,"slug":97},"Story & Novel",90,"story-novel",{"id":48,"doc_module":4,"doc_module_name":47,"category_name":99,"show_sort_weight":100,"slug":101},"Literature",80,"literature",{"id":11,"doc_module":4,"doc_module_name":47,"category_name":12,"show_sort_weight":103,"slug":104},70,"exam",{"id":106,"doc_module":4,"doc_module_name":47,"category_name":107,"show_sort_weight":108,"slug":109},5,"Comic",60,"comic",{"id":111,"doc_module":4,"doc_module_name":47,"category_name":112,"show_sort_weight":113,"slug":114},6,"Technology",50,"technology",{"id":116,"doc_module":4,"doc_module_name":47,"category_name":117,"show_sort_weight":118,"slug":119},7,"Healthcare",40,"healthcare",{"id":121,"doc_module":4,"doc_module_name":47,"category_name":122,"show_sort_weight":123,"slug":124},8,"Research & Report",30,"research-report",{"id":126,"doc_module":4,"doc_module_name":47,"category_name":127,"show_sort_weight":128,"slug":129},9,"Religion & Spirituality",20,"religion-spirituality",{"id":128,"doc_module":4,"doc_module_name":47,"category_name":131,"show_sort_weight":128,"slug":132},"World Cup","world-cup",{"id":134,"doc_module":4,"doc_module_name":47,"category_name":135,"show_sort_weight":134,"slug":136},10,"Lifestyle","lifestyle",{"id":138,"doc_module":4,"doc_module_name":47,"category_name":139,"show_sort_weight":106,"slug":140},19,"General","general"]