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.15

Find the equation of the hyperbola satisfying the give conditions: Foci (0, ±√10), passing through (2, 3).

Given, Foci (0, ±√10), passing through (2, 3).

Here, the foci are on the y-axis.

Therefore, the equation of the hyperbola is of the form (y² ÷ a²) – (x² ÷ b²) = 1.

Since the foci are (0, ±√10), c = √10

We know that a² + b² = c²

=> a² + b² = 10

=> b² = 10 - a²…………… (1)

Since the hyperbola passes through point (2, 3),

(9 ÷ a²) – (4 ÷ b²) = 1 ………... (2)

From equations (1) and (2), we obtain

(9 ÷ a²) – {4 ÷ (10 - a²)} = 1

=> 9(10 - a²) - 4a² = a² (10 - a²)

=> 900 - 9a² - 4a² = 100a² – a⁴

=> a⁴ – 23a² + 90 = 0

=> a⁴ – 18a² - 5a² + 90 = 0

=> a² (a² - 18) - 5(a² - 18) = 0

=> (a² - 18) (a² - 5) = 0

=> a² = 18, 5

In hyperbola, c > a,

=> c² > a²

So, a² = 5

Now, b² = 10 – a²

=> b² = 10 – 5

=> b² = 5

Thus, the equation of the hyperbola is y² - x² = 1.

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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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.