Class 12 Maths NCERT Exemplar Questions

Ye page aapke liye hai jo Class 12 Maths ke NCERT Exemplar ke important questions aur unke detailed solutions provide karta hai. CBSE board exam ki preparation ke liye ye questions bahut hi helpful hain.

Exemplar Questions ka Importance

• Exemplar questions se aapko advanced level ki practice hoti hai.
• In questions mein application-based concepts hote hain.
• Board exams mein aane wale tough questions ke liye aapko taiyaar karte hain.

Here we have provided NCERT Exemplar Questionfor Class 12 Maths in hindi Language, Just select the chapters below to get Exemplar Solution of the same:

संबंध एव फलन

प्रतिलोम त्रिकोणमितीय फलन

आव्यूह

सारणिक

सांतत्य और अवकलनीयता

अवकलज के अनुप्रयोग

समाकल

स्माकलो के अनुप्रयोग

अवकल समीकरण

सदिश बीजगणित

त्रिविमयि ज्यामिति

रैखिक प्रोग्रामन

प्रायिकता

Class 12 Maths Exemplar: Chapter-wise Important Concepts

NCERT Exemplar book mein har chapter ke liye basic se lekar advanced level tak ke questions diye hote hain. Inhe solve karna aapki conceptual clarity ko improve karta hai.

Chapter 1: Relations and Functions

Is chapter mein exemplar questions mostly relations ke types, functions ki composition, aur invertible functions par focus karte hain. Ek example dekhte hain:

Exemplar Question: Check karein ki function f: R → R defined by f(x) = 1 + x^2 one-one hai ya nahi. Solution mein hum prove karenge ki function one-one nahi hai kyuki f(1) = f(-1) = 2.

Chapter 2: Inverse Trigonometric Functions

Yahan par principal values, properties of inverse trigonometric functions, aur unke domains par questions hote hain. Exemplar problems mein simplifying expressions using properties aata hai.

Chapter 5: Continuity and Differentiability

Ye chapter Class 12 Maths ka very important chapter hai. Exemplar questions ismein continuity check karna, differentiability par based hote hain. Aapko piecewise functions par bhi questions milenge.

• Question: Check the continuity of the function f(x) = |x - 1| + |x - 2| at x = 1 and x = 2.
• Solution: Hum left hand limit aur right hand limit nikalenge dono points par.

Chapter 6: Application of Derivatives

Is chapter ke exemplar questions real-life applications par based hote hain. Jaise rate of change, increasing/decreasing functions, tangents and normals, maxima and minima problems.

Example Problem: A wire of length 28 m is to be cut into two pieces. One piece is bent into a square and the other into a circle. Find the lengths of the two pieces so that the sum of the areas is minimum. Solution mein hum derivative ka use karke critical points find karenge.

Exemplar Questions Solve Karne ke Fayde

Exemplar questions ko regularly solve karne se aapko multiple benefits hote hain:

• Conceptual Depth: Aapka concept clear ho jata hai aur aap complex problems solve kar paate hain.
• Exam Pattern: Aapko board exam mein aane wale question pattern ki practice ho jaati hai.
• Time Management: Tough questions ko time limit mein solve karna seekh jaate hain.
• Confidence Boost: Exemplar problems solve karne ke baad aap exam mein confident feel karte hain.

Tips for Solving Exemplar Problems

Agar aap exemplar problems solve karte samay stuck ho jaate hain, to in steps ko follow karein:

1. Pehle question ko carefully read karein aur samjhein ki kya pucha ja raha hai.
2. Related formulas aur theorems ko apne notebook mein likh lein.
3. Step-by-step solution likhne ki koshish karein. Direct answer na likhein.
4. Agar solution na aaye, toh answer key dekh kar method samjhein, phir dobara khud se solve karein.
5. Regular practice ke liye har week kam se kam 10-15 exemplar problems solve karein.

Important Chapters for Board Exams

Board exam ki nazar se kuch chapters ke exemplar questions specially important hain. In chapters par zyada focus karein:

• Calculus (Chapters 5, 6, 7, 8): Ismein derivatives, integrals, aur differential equations aate hain. Weightage bhi sabse zyada hai.
• Algebra (Chapters 3, 4): Matrices aur Determinants se sure-shot questions aate hain.
• Vectors and 3D Geometry (Chapters 10, 11): In chapters ke numerical problems exemplar mein important hain.

Final suggestion ye hai ki aap NCERT textbook ko achhe se padhne ke baad hi exemplar problems ki taraf aayein. Pehle basics clear karein, phir advanced level practice karein. Har question ke solution mein reasoning samjhein, rattein nahi. All the best for your preparation!