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.11.4 Q.4

An arch is in the form of a semi-ellipse. It is 8 m wide and 2 m high at the centre.

Find the height of the arch at a point 1.5 m from one end.

Since the height and width of the arc from the centre is 2 m and 8 m respectively,

it is clear that the length of the major axis is 8 m, while the length of the semi-minor axis is 2 m.

The origin of the coordinate plane is taken as the centre of the ellipse,

while the major axis is taken along the x-axis.

Hence, the semi-ellipse can be diagrammatically represented as

The equation of the semi-ellipse will be of the form (x² ÷ a²) + (y² ÷ b²) = 1, y ≥ 0 where a is the semi-major axis

Accordingly, 2a = 8

=> a = 4

and b = 2

Therefore, the equation of the semi-ellipse is x² + y² = 1, y ≥ 0 …………... (1)

Let A be a point on the major axis such that AB = 1.5 m.

Draw AC⊥ OB.

OA = (4 – 1.5) m = 2.5 m

The x-coordinate of point C is 2.5.

On substituting the value of x with 2.5 in equation (1), we obtain

(2.5)² ÷ 16 + y² ÷ 4 = 1

=> (6.25 ÷ 16) + (y² ÷ 4) = 1

=> (y² ÷ 4) = 1 – (6.25 ÷ 16)

=> (y² ÷ 4) = (16 – 6.25) ÷ 16

=> (y² ÷ 4) = (9.75 ÷ 16)

=> y² = (4 × 9.75) ÷ 16

=> y² = 9.75 ÷ 4

=> y² = 2.4375

=> y = √2.4375

=> y = 1.56 (approx.)

So, AC = 1.56 m

Thus, the height of the arch at a point 1.5 m from one end is approximately 1.56 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?

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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.
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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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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.