Daily Practice Problems Straight Lines

Question 1:

Find the slope of the lines passing through the point (3, -2) and (-1, 4)

Question 2:

The equation of straight line passing through the point (1, 2) and parallel to the line y = 3x + 1 is _____.

Question 3:

The equation of the line which cuts off equal and positive intercepts from the axes and passes through the point (α, β) is _____.

Question 4:

The angle between the lines x – 2y = y and y – 2x = 5 is _____.

Question 5:

Two lines a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 are parallel if ______.

Question 6:

In a ΔABC, if A is the point (1, 2) and equations of the median through B and C are respectively x + y = 5 and x = 4, then B is

Question 7:

Find the equation of the line through the points (1, 5) and (2, 3).

Question 8:

What can be said regarding if a line if its slope is zero?

Question 9:

The equation of the locus of a point equidistant from the point A(1, 3) and

B(-2, 1) is _____.

Question 10:

The length of the perpendicular from the origin to a line is 7 and the line makes an angle of 150 degrees with the positive direction of the y-axis. Then the equation of line is _____.

Question 11:

The perpendicular from the origin to a line meets it at the point (–2, 9), find the equation of the line.

Question 12:

The slope of a line is double the slope of another line. If tangent of the angle between them is 13 , then find the slope of the line.

Question 13:

Find the equation to that straight line which passes through the point (7, 9) and such that the portion between the axes is divided by the point in the ratio 3 : 1.

Question 14:

Find the angle between the lines y = (2 – √3)x + 6 and y = (2 + √3)x – 8.

Question 15:

Find the distance of the point (–1, 1) from the line 12(x + 6) = 5(y – 2).

Question 16:

Find the distance between two parallel lines:

15x + 8y – 34 = 0 and 15x + 8y + 31 = 0.

Question 17:

Find the values of k for which the line (k - 3)x – (4 – k²)y + k² – 7k + 6 = 0 is parallel to the x-axis.

Question 18:

Determine x so that the inclination of the line containing the points (x, -3) and (2, 5) is 135⁰.

Question 19:

Find the value of x for which the points (x, -1), (2, 1) and (4, 5) are collinear.

Question 20:

A person standing at the junction (crossing) of two straight paths represented by the equations 2x – 3y + 4 = 0 and 3x + 4y – 5 = 0 wants to reach the path whose equation is 6x – 7y + 8 = 0 in the least time. Find equation of the path that he should follow.

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Problem-solving on Class 11 Maths Straight Lines NCERT Chapter 9 after learning a theoretical concept is crucial for several reasons:

Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic Class 11 Maths Straight Lines 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.
Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in Class 11 Maths Straight Lines NCERT Chapter 9, 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.
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.
Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Straight Lines Class 11 Maths in practical scenarios helps you remember them better than passive reading or memorization.
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 Straight Lines Class 11 Maths Notes on LearnoHub.com
Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Straight Lines. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
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 Straight Lines Class 11 Maths Online Tests at LearnoHub.com.
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.
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.
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 Straight Lines 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 Straight Lines NCERT Chapter 9

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 Straight Lines NCERT Chapter 9 useful.

Last but not least, to get the best hold on Class 11 Maths Straight Lines NCERT Chapter 9, do not forget to check out:

Straight Lines Class 11 Maths Best videos
Straight Lines Class 11 Maths NCERT Solutions
Class 11 Maths Straight Lines Revision notes
Straight Lines Class 11 Maths DPPs, Download PDF of solutions
Class 11 Maths Straight Lines Online Tests
Class 11 Maths Sample papers