NCERT solution Class 11 conic sections

NCERT Solutions

Class 11 Maths

Conic Sections

NCERT Questions

Ex.11.1
Ex.11.1 Q.2
Ex.11.1 Q.3
Ex.11.1 Q.4
Ex.11.1 Q.5
Ex.11.1 Q.6
Ex.11.1 Q.7
Ex.11.1 Q.8
Ex.11.1 Q.9
Ex.11.1 Q.10
Ex.11.1 Q.11
Ex.11.1 Q.12
Ex.11.1 Q.13
Ex.11.1 Q.14
Ex.11.1 Q.15
Ex.11.2 Q.1
Ex.11.2 Q.2
Ex.11.2 Q.3
Ex.11.2 Q.4
Ex.11.2 Q.5
Ex.11.2 Q.6
Ex.11.2 Q.7
Ex.11.2 Q.8
Ex.11.2 Q.9
Ex.111.2 Q.10
Ex.11.2 Q.11
Ex.11.2 Q.12
Ex.11.3 Q.1
Ex.11.3 Q.1
Ex.11.3 Q.3
Ex.11.3 Q.4
Ex.11.3 Q.5
Ex.11.3 Q.6
Ex.11.3 Q.7
Ex.11.3 Q.8
Ex.11.3 Q.9
Ex.11.3 Q.10
Ex.11.3 Q.11
Ex.11.3 Q.12
Ex.11.3 Q.13
Ex.11.3 Q.14
Ex.11.3 Q.15
Ex.11.3 Q.16
Ex.11.3 Q.17
Ex.11.3 Q.18
Ex.11.3 Q.19
Ex.11.3 Q.20
Ex.11.4 Q.1
Ex.11.4 Q.2
Ex.11.4 Q.3
Ex.11.4 Q.4
Ex.11.4 Q.5
Ex.11.4 Q.6
Ex.11.4 Q.7
Ex.11.4 Q.8
Ex11.4 Q.9
Ex.11.4 Q.10
Ex.11.4 Q.11
Ex.11.4 Q.12
Ex.11.4 Q.13
Ex.11.4 Q.14
Ex.11.4 Q.15
Ex.Misc. Q.1
Ex.Misc. Q.2
Ex.Misc. Q.3
Ex.11.4 Q.4
Ex.Misc. Q.5
Ex.Misc. Q.6
Ex.Misc.Q.7
Ex.Misc.Q.7

Ex.Misc. Q.3

The cable of a uniformly loaded suspension bridge hangs in the form of a parabola.

The road way which is horizontal and 100 m long is supported by vertical wires attached to the cable,

the longest wire being 30 m and the shortest being 6 m.

Find the length of a supporting wire attached to the roadway 18 m from the middle.

The vertex is at the lowest point of the cable.

The origin of the coordinate plane is taken as the vertex of the parabola,

while its vertical axis is taken along the positive y-axis. This can be diagrammatically represented as

Here, AB and OC are the longest and the shortest wires, respectively, attached to the cable.

DF is the supporting wire attached to the roadway, 18 m from the middle.

Here, AB = 30 m, OC = 6 m, and BC = 100 ÷ 2 = 50 m.

The equation of the parabola is of the form x² = 4ay (as it is opening upwards).

The coordinates of point A are (50, 30 – 6) = (50, 24).

Since A (50, 24) is a point on the parabola,

So, 50² = 4a × 24

=> 2500 = 96a

=> a = 2500 ÷ 96

=> a =

Now, equation of the parabola is

x² = 4 × ( ) × y

=> x² = 625y ÷ 6

=> 6x² = 625y

The x-coordinate of point D is 18.

Hence, at x = 18,

6 × 18² = 625y

=> 1944 = 625y

=> y = 1944 ÷ 625

=> y = 3.11 (approx.)

So, DE = 3.11 m

Now, DF = DE + EF = 3.11 m + 6 m = 9.11 m

Thus, the length of the supporting wire attached to the roadway 18 m from the middle is approximately 9.11 m.

Conic Sections Class 11 Maths NCERT Chapter 10 NCERT Solutions

Solving NCERT textbook questions of Conic Sections Class 11 Maths NCERT Chapter 10 is a crucial step to gauge your understanding of the concepts. It provides you with an opportunity to assess your grasp of the material after learning each chapter. We have already provided solutions to all the exercises in the NCERT textbook of Class 11 Maths Conic Sections, available in various formats such as video, text, and downloadable PDFs. If you need assistance with any of the NCERT questions or any other academic topics, feel free to ask in the “Ask Questions” section of LearnoHub.com.

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How to make the most of NCERT Solutions module of Conic Sections Class 11 Maths NCERT Chapter 10 on LearnoHub.com?

Using the NCERT solutions module effectively can significantly enhance your learning experience and understanding of the subject matter. Here's a step-by-step guide on how to make the most out of the NCERT solutions:

Attempt to Solve Yourself: Before looking at the solution, try to solve or answer the question independently. This practice will help you test your knowledge and problem-solving skills.
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Refer to Solution Video (if needed): If you encounter difficulty or are unable to solve a question, you can refer to the NCERT solution video on Conic Sections Class 11 Maths NCERT Chapter 10 to get a step-by-step explanation of the correct approach. Pay attention to the reasoning and methodology used in the video.
Solve Again Yourself: Once you've understood the solution, attempt to solve the question again by yourself. Repetition and practice solidify your understanding of the concepts and improve retention.
Avoid Memorization: Focus on understanding the underlying principles and concepts behind each solution. Avoid simply memorizing the solutions, as this may hinder your ability to apply the knowledge in different contexts.
Attempt All Questions: Make an effort to attempt all the questions provided in the NCERT textbook. This comprehensive practice will help you cover the entire syllabus and reinforce your understanding across various topics. You may refer Class 11 Maths Conic Sections Online Test on LearnoHub.com.
Review and Revise: Regularly review the concepts and solutions you've learned. Revise your notes and practice regularly to retain the knowledge effectively. You may refer Conic Sections Class 11 Maths Notes.
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By following these steps and actively engaging with the NCERT solutions module of Class 11 Maths Conic Sections NCERT Chapter 10, you can improve your learning outcomes, develop a better grasp of the subject, and perform well in exams and other academic assessments. Remember that consistent practice, understanding, and application of knowledge are key to academic success.

NCERT solutions of Conic Sections Class 11 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 11 Maths Conic Sections NCERT solutions.