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Mathematics Optional

Mathematics Optional

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📈 Análisis del canal de Telegram Mathematics Optional

El canal Mathematics Optional (@mathematics_optional_notes) en el segmento lingüístico de Inglés es un actor destacado. Actualmente la comunidad reúne a 10 347 suscriptores, ocupando la posición 19 156 en la categoría Educación y el puesto 38 675 en la región India.

📊 Métricas de audiencia y dinámica

Desde su creación el невідомо, el proyecto ha mostrado un crecimiento acelerado, reuniendo a 10 347 suscriptores.

Según los últimos datos del 29 junio, 2026, el canal mantiene una actividad estable. En los últimos 30 días la variación de miembros fue de -112, y en las últimas 24 horas de -4, conservando un alto alcance.

  • Estado de verificación: No verificado
  • Tasa de interacción (ER): El promedio de interacción de la audiencia es 2.95%. Durante las primeras 24 horas tras publicar, el contenido suele obtener N/A% de reacciones respecto al total de suscriptores.
  • Alcance de las publicaciones: Cada publicación recibe en promedio 0 visualizaciones. En el primer día suele acumular 0 visualizaciones.
  • Reacciones e interacción: La audiencia responde de forma activa: el promedio de reacciones por publicación es 0.
  • Intereses temáticos: El contenido se centra en temas clave como upsc, mathematics, kataria, mathematic, ज्वाइन.

📝 Descripción y política de contenido

No se ha proporcionado la descripción del canal.

Gracias a la alta frecuencia de actualizaciones (últimos datos recibidos el 30 junio, 2026), el canal mantiene la vigencia y un amplio alcance. La analítica demuestra que la audiencia interactúa activamente con el contenido, lo que lo convierte en un punto de referencia dentro de la categoría Educación.

10 347
Suscriptores
-424 horas
-377 días
-11230 días
Archivo de publicaciones
#River_India PENISULAR RIVER SYSTEM ▪️ The Penisular rivers are much older than Himalayan Rivers. ▪️ Penisular Rivers are Non - Perennial Rivers. ▪️ Rivers have reached their Mature stage and have almost reached the Base level. ▪️ Characterised by Broad and shallow valleys. ▪️ Water divide in Penisular rivers forms by Western ghats. ▪️ Velocity and load carrying capacity is low due to Low gradient. ▪️ East flowing rivers make deltas at their mouth while West flowing rivers make Estuaries.

📣 Recruitment Notification: Himachal Pradesh Judicial Services Exam ▪️Total Posts - 17 ▪️Apply by - 12th May ▪️Eligibility - LLB ▪️Pay Scale - Level J-1 (Basic - 77,840) ✅ Exam Dates ▪️Prelims - 9th July ▪️Mains - 19th August

📣 EPFO EO/AO & APFC Exam on 02nd July, 2023 ▪️EO/AO - 9.30 to 11.30 AM ▪️APFC - 2 PM to 4 PM

📣 UPSC Assistant Commandant 2023 Notification

📣 SSC 2023 Exam Dates
📣 SSC 2023 Exam Dates

📣 BPSC Vacancy Notification : Assistant Divisional Fire Officer ✅ Total Post: 21

UPSC CAPF(AC) 2023 Total no. of seats 322 Last date to apply: 16th may

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Elimination Techniques_.pdf3.81 KB

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AKS IAS Geography QRM.pdf4.34 MB

ALL REPORTS & INDICES 2022&2023 - If you read this pdf compulsory you can score 4 marks in GS PRELIMS 2023. Meticulously made content for Prelims 2023 UPSC/TSPSC/APPSC.

There are 4 types of genetic diseases 1⃣ Single Gene - Disorders caused by abnormality or mutation in the sequence of one gene. 2⃣ Multifactorial - Caused by a combination of environmental factors as well as mutations in multiple genes. 3⃣ Chromosomal - Abnormalities in chromosome structure such has missing or extra copies 4⃣ Mitochondrial - Caused by a mutation in non-chromosomal DNA of mitochondria

42nd Amendment Act of 1976 added four new Directive Principles to the original list. Those DPSPs are: 1⃣ Article 39 - To secure opportunities for healthy development of children. 2⃣ Article 39A - To promote equal justice and to provide free legal aid to the poor. 3⃣ Article 43A - To take steps to secure the participation of workers in the management of industries 4⃣ Article 48A - To protect and improve the environment and to safeguard forests and wild life.

ALL MINISTRY-WISE GOVT SCHEMES FROM 2019-2023, Source: Respective ministry websites. If you read this content-Your Govt schemes preparation is completed.

Indian Polity QRM_.pdf2.54 MB

Ancient & Medieval History QRM_AKSIAS.pdf4.33 MB

AKS IAS Geography QRM.pdf4.34 MB

AKS IAS Art & Culture QRM.pdf3.75 MB

• The work on the strategic 14.5 km long Zojila tunnel, an all-weather connection between the Kashmir valley and the Ladakh region - is going on at a rapid pace and over 40 per cent of the drilling has been completed, • It will pass under the Zojila Pass in the Himalayas between Ganderbal in Kashmir and Drass town in Kargil district of Ladakh. • Z-Morh Tunnel is a part of the Zojila tunnel project. • Z-Morh tunnel, which connects Gagangir with Sonamarg and provides all-weather connectivity to the resort in the Ganderbal district of central Kashmir, will be inaugurated in October this year.

Asia's Longest Zozila Tunnel Project
Asia's Longest Zozila Tunnel Project

Clean Plant program ✅With the demand for foreign planting materials of fruits like apples, avocados and blueberries rising over the years, the Central government plans to set up 10 ‘Clean Plant Centres’ Objective: To boost domestic production of the selected fruit crops ✅Services offered: disease diagnostic, therapeutics, multiplying of plants and generation of mother plants ✅Need for ‘Clean plant program’: Currently, it is difficult to get disease-free and genuine planting materials for horticultural crops in India. ✅Also, the process of importing plants is very cumbersome, as the imported plants must be kept in quarantine for two years. ✅Nodal Ministry: Ministry of Agriculture and Farmers Welfare ✅Implementing agency: National Horticulture Board (NHB) ✅Funding: 100% be Central government ✅It will be set up under the ‘Atmanirbhar Clean Plant Program’ (announced in Budget 2023-24)