Daily Practice Problems undefined Equation of a Line

Question 1:

Which of the following points lie on the line x – 2y + 5 = 0

(i) (1, 3) (ii) (0, 5) (iii) (-5, 0) [Level: Easy]

Question 2:

Find the value of k such that the line (k - 2)x + (k + 3)y - 5 = 0 is perpendicular to the line 2x – y + 7 = 0 [Level: Moderate]

Question 3:

The point P (x, y) is first reflected in the x-axis and reflected in the origin to P’. If P’ has co-ordinates (-8, 5); evaluate x and y. [Level: Moderate]

Question 4:

Find the ratio in which the join of (-4, 7) and (3, 0) is divided by the y-axis. Also, find the coordinates of the point of intersection. [Level: Moderate]

Question 5:

ABCD is a parallelogram where A(x, y), B (5, 8), C (4, 7) and D (2, -4). Find co-ordinates of A. [Level: Moderate]

Question 6:

A point P is its own image under the reflection in a line l. Describe the position of point the P with respect to the line l. [Level: Easy]

Question 7:

A (-3, 2), B (3, -1) and C (-3, -3) are the vertices of a triangle ABC. Find the length of line segment AP, where point P is the mid-point of BC. [Level: Moderate]

Question 8:

Find the equation of the line passing through the point of intersection of the lines and and perpendicular to the line . [Level: Difficult]

Question 9:

The integral values of m for which the x-coordinate of the point of Intersection of the lines and also an integer is [Level: Difficult]

Question 10:

Points A and B have co-ordinates (3, 5) and (x, y) respectively. The mid point of AB is (2, 3). Find the values of x and y. Also write the equation of line passing through point A and B. [Level: Moderate]

Question 11:

A straight line L through the point is such that its intercept between the axes is bisected at A. Find the equation of line L. [Level: Difficult]

Question 12:

A point P (-2, 3) is reflected in line x = 2 to point P’. Find the coordinates of P’. [Level: Moderate]

Question 13:

Find the equation of a line passing through the point (2, 3) and having the x-intercept of 4 units. [Level: Moderate]

Question 14:

A line AB meets the x-axis at point A and y-axis at point B. The point P(−4, −2) divides the line segment AB internally such that AP : PB = 1 : 2, Find:

(i) the co-ordinates of A and B

(ii) equation of line through P and perpendicular to AB. [Level: Difficult]

Question 15:

State the co-ordinates of the following points under reflection in x-axis:

(i) (5, 2)

(ii) (-5, 4)

(iii) (0, 0) [Level: Easy]

Question 16:

Given a straight line x cos 30° + y sin 30° = 2. Determine the equation of the other line which is parallel to it and passes through (4, 3). [Level: Moderate]

Question 17:

Find the co-ordinates of the mid point line segment joining the points (-3, 0) and (6, 6). [Level: Easy]

Question 18:

The line 4x − 3y + 12 = 0 meets x-axis at A. Write the co-ordinates of A. Determine the equation of the line through A and perpendicular to 4x – 3y + 12 = 0 [Level: Moderate]

Question 19:

A point P is reflected in the origin. Co-ordinates of its image are (-2, 7).

(i) Find the co-ordinates of P.

(ii) Find the co-ordinates of the image of P under reflection in the x-axis. [Level: Easy]

Question 20:

Find the equation of the perpendicular bisector of the line segment obtained on joining the points (6, −3) and (0, 3). [Level: Moderate]

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Problem-solving on ICSE 10 Maths Equation of a Line NCERT Chapter 14 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 ICSE 10 Maths Equation of a Line 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 ICSE 10 Maths Equation of a Line NCERT Chapter 14, 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 Equation of a Line ICSE 10 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 Equation of a Line ICSE 10 Maths Notes on LearnoHub.com
Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Equation of a Line. 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 Equation of a Line ICSE 10 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 Equation of a Line ICSE 10 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 ICSE 10 Maths Equation of a Line NCERT Chapter 14

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 ICSE 10 Maths Equation of a Line NCERT Chapter 14 useful.

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