Daily Practice Problems
Class 11 Maths
Conic Sections
daily practice problem

Question 1:

Find the equation of the circle with centre  and radius 4. [Level: Easy]

(a)

(b)

(c)

(d)

 

Questions 2:

Find the centre and the radius of the circle . [Level: Easy]

(a)

(b)

(c)

(d)

 

Question 3:

The equation of the circle in the first quadrant touching each coordinate axis at a distance of one unit from the origin is [Level: Moderate]

(a)

(b)

(c)

(d)

 

Question 4:

If the circle  passes through  and , then  is[Level: Moderate]

(a) 0

(b)

(c)

(d) 41

 

Question 5:

The equation of a circle with centre at  and circumference  units is [Level: Easy]

(a)

(b)

(c)

(d)

 

Question 6:

Find the equation of the parabola with focus  and directrix . [Level: Moderate]
(a)
 

(b)  

(c)

(d)

 

Question 7:

Find the equation of the parabola with vertex at  and focus at . [Level: Easy]

(a)

(b)

(c)

(d)

 

Question 8:

Find the equation of the parabola which is symmetric about the -axis and passes through   the point . [Level: Moderate]

(a)

(b)

(c)

(d)

 

Question 9:

The equation of the parabola whose focus is the point  and directrix is the line  is[Level: Moderate]

(a)

(b)

(c)

(d)

 

Question 10:

The equation of the directrix of    is [Level: Difficult]

(a)

(b)

(c)

(d)

 

Question 11:

If the ellipse  meets the ellipse  in four distinct points and , then the value of  does not satisfy[Level: Difficult]

(a)

(b)

(c)

(d) None of these

 

Question 12:

The sum of the distances of any point on the ellipse  from its foci is[Level: Moderate]

(a)

(b) 8

(c)

(d)

 

Question 13:

Find the coordinates of the foci and eccentricity respectively of the ellipse . [Level: Difficult]

(a)

(b)

(c)

(d)

 

Question 14:

If the length of the major axis of an ellipse is  times the length of the minor axis, then the eccentricity of the ellipse is______[Level: Difficult]
 

Question 15:

Find the equation of the ellipse with foci at  and  as one of the directrices. [Level: Moderate]

(a)

(b)

(c)

(d)

 

Question 16:

The equation of the ellipse whose centre is at the origin and the -axis, the major axis, which passes through the points  and  is[Level: Moderate]

(a)

(b)

(c)

(d)

 

Question 17:

If the foci of the ellipse  are  and , then the foci of the ellipse , are[Level: Difficult]

(a)

(b)

(c)

(d)

 

Question 18:

The equation of the ellipse whose focus is , directrix is the line  and the eccentricity is , is_____[Level: Moderate]

 

Question 19:

The eccentricity of the ellipse  84 is equal to [Level :Moderate]

(a)
(b)

(c)

(d)

 

Question 20:

If for the ellipse -axis is the minor axis and the length of the latus rectum is one half of the length of its minor axis, then its eccentricity is______[Level: Moderate]

**********

Problem-solving on Class 11 Maths Conic Sections NCERT Chapter 10 after learning a theoretical concept is crucial for several reasons:

  1. Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic Class 11 Maths Conic Sections you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
  2. Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in Class 11 Maths Conic Sections NCERT Chapter 10, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
  3. Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
  4. Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Conic Sections Class 11 Maths in practical scenarios helps you remember them better than passive reading or memorization.
  5. Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Conic Sections Class 11 Maths Notes on LearnoHub.com
  6. Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Conic Sections. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
  7. Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Conic Sections Class 11 Maths Online Tests at LearnoHub.com.
  8. Enhancing Creativity: Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.
  9. Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
  10. Improving Decision Making: Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

In summary, problem-solving after learning a theoretical concept on CBSE Conic Sections Class 11 Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on Class 11 Maths Conic Sections NCERT Chapter 10

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on Class 11 Maths Conic Sections NCERT Chapter 10 useful.

Last but not least, to get the best hold on Class 11 Maths Conic Sections NCERT Chapter 10, do not forget to check out:

  • Conic Sections Class 11 Maths Best videos
  • Conic Sections Class 11 Maths NCERT Solutions
  • Class 11 Maths Conic Sections Revision notes
  • Conic Sections Class 11 Maths DPPs, Download PDF of solutions
  • Class 11 Maths Conic Sections Online Tests
  • Class 11 Maths Sample papers

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