Mastering Linear Equations in One Variable for JNV Entrance Exam: Chapter 2 Prep in English and Hindi
Introduction:
Welcome to JNVMaths.com, your trusted resource for all things related to Jawahar Navodaya Vidyalaya (JNV) entrance exam preparation. In this blog post, we're diving deep into Chapter 2: "Linear Equations in One Variable," a fundamental topic for JNV entrance exam math.
Linear equations are the building blocks of algebra and play a significant role in various mathematical concepts. Mastering this chapter is crucial not only for acing the JNV entrance exam but also for building a strong foundation in mathematics. So, let's get started on your journey to conquering linear equations!
Chapter 2: Linear Equations in One Variable
In this chapter, you'll encounter the fascinating world of linear equations, which are equations that can be represented as a straight line on a graph. These equations have a single variable, and your goal is to find its value, making them an essential part of algebraic problem-solving.
1. Understanding Linear Equations
We'll begin by breaking down the components of linear equations, understanding terms like coefficients, constants, and variables. We'll illustrate these concepts with real-world examples to make them relatable and easy to grasp.
2. Solving Linear Equations
The heart of this chapter lies in solving linear equations. We'll guide you through various methods, such as the balance method, the inverse operations method, and the cross-multiplication method, making sure you have a diverse toolkit to tackle different types of linear equations.
3. Word Problems
Linear equations often appear in word problems, where they are used to model and solve real-life scenarios. We'll provide you with strategies for translating word problems into equations and solving them step by step.
4. Practice Exercises
To reinforce your understanding, we've curated a set of practice exercises related to linear equations. These exercises cover a range of difficulty levels, ensuring that you're well-prepared for the math section of the JNV entrance exam.
5. Tips and Tricks
In addition to solving linear equations, we'll share some valuable tips and shortcuts to streamline your problem-solving process. These tips can save you time during the exam and boost your confidence.
6. Resources and Further Study
Finally, we'll point you towards additional resources and study materials to deepen your knowledge of linear equations. We believe in providing you with comprehensive support for your JNV entrance exam preparation.
1. निम्नलिखित में से कौन सा एक चर वाला रैखिक समीकरण नहीं है?
a) 33
b) 33(x+y)
c) 33x
d) 33y
उत्तर: (b)
2. 2x-3=7 का हल है:
a) 5
b) 7
c) 12
d) 11
उत्तर: (a)
3. 2y + 9 = 4 का हल है:
a) 9/2
b) 4/9
c) -⅖
d) -5/2
उत्तर: (d)
4. y/5 = 10 का हल है:
a) 15
b) 10
c) 50
d) 5
उत्तर: (c)
5. 3/7 प्राप्त करने के लिए -7/3 में क्या जोड़ना चाहिए?
a) 21/58
b) 58/21
c) 47/21
d) 50/21
उत्तर: (b)
6. आयत का परिमाप 20 सेमी है। यदि आयत की लंबाई 6 सेमी है, तो इसकी चौड़ाई होगी:
a) 4 सेमी
b) 6 सेमी
c) 10 सेमी
d) 14 सेमी
उत्तर: (a)
7. पिता की आयु पुत्र की आयु की तीन गुनी है। यदि पुत्र की आयु 15 वर्ष है, तो पिता की आयु है:
a) 50 वर्ष
b) 55 वर्ष
c) 40 वर्ष
d) 45 वर्ष
उत्तर: (d)
8. दो पूर्ण संख्याओं के बीच का अंतर 66 है। दोनों संख्याओं का अनुपात 2: 5 है। दोनों संख्याएँ हैं:
a) 60 और 6
b) 100 और 33
c) 110 और 44
d) 99 और 33
उत्तर: (c)
9. तीन क्रमागत पूर्णांकों का योग 51 होता है। पूर्णांक हैं:
a) 16,17,18
b) 15,16,17
c) 17,18,19
d) 18,19,20
उत्तर: (a)
10. 3m = 5m – (8/5) का हल है:
a) 8/5
b) ⅘
c) 5/4
d) 4/3
उत्तर: (b)
1. Which of the following is not a linear equation in one variable?
a) 33
b) 33(x+y)
c) 33x
d) 33y
Answer: (B)
2. The solution of 2x-3=7 is:
a) 5
b) 7
c) 12
d) 11
Answer: (A)
3. The solution of 2y + 9 = 4 is:
a) 9/2
b) 4/9
c) -⅖
d) -5/2
Answer: (D)
4. The solution of y/5 = 10 is:
a) 15
b) 10
c) 50
d) 5
Answer: (c)
5. What should be added to -7/3 to get 3/7?
A) 21/58
B) 58/21
C) 47/21
D) 50/21
Answer: (B)
6. The perimeter of the rectangle is 20 cm. If the length of the rectangle is 6 cm, its breadth will be:
a) 4 cm
b) 6 cm
c) 10 cm
d) 14 cm
Answer: (A)
7. The age of the father is three times the age of the son. If the age of the son is 15 years, then the age of the father is:
a) 50 years
b) 55 years
c) 40 years
d) 45 years
Answer: (D)
8. The difference between two whole numbers is 66. The ratio of both the numbers is 2:5. Both numbers are:
a) 60 and 6
b) 100 and 33
c) 110 and 44
d) 99 and 33
Answer: (c)
9. The sum of three consecutive integers is 51. The integers are:
a) 16,17,18
b) 15,16,17
c) 17,18,19
d) 18,19,20
Answer: (A)
10. The solution of 3m = 5m – (8/5) is:
a) 8/5
b) ⅘
c) 5/4
d) 4/3
Answer: (B)
Conclusion:
Mastering Chapter 2: "Linear Equations in One Variable" is a significant step in your journey towards success in the JNV entrance exam. By understanding the fundamentals, practicing extensively, and utilizing our tips and tricks, you'll be well-equipped to tackle any linear equation thrown your way.
Stay tuned to JNVMaths.com for more valuable content, including additional chapters, practice tests, and guidance to ensure you excel in your JNV entrance exam. Your dedication and hard work will pave the way for a bright academic future at Jawahar Navodaya Vidyalaya. Happy studying!
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