RS Aggarwal Solutions Class 10 Chapter 16 - Coordinate Geometry (Ex 16B) Exercise 16.2

Q: 3. What is the equation of a plane passing through two points?

The equation of a plane passing through two points P1 (x1, y1) and P2 (x2, y2) is Ax + By + C = 0 . This is nothing but a linear equation in three variables and the coefficients of x, y and z are all zero. So, the equation of a plane can be written in general form as Ax + By + Cz = D, where A, B, C and D are constants. This is also known as the standard equation of a plane. If students want to score good marks in their examinations, then they should definitely practice this equation and try to understand how to solve it.

RS Aggarwal Solutions

RS Aggarwal Solutions Class 10 Chapter 16 - Coordinate Geometry (Ex 16B) Exercise 16.2

Last updated date: 20th Apr 2024

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RS Aggarwal Solutions Class 10 Chapter 16 - Coordinate Geometry (Ex 16B) Exercise 16.2 - Free PDF

In this chapter, we will study coordinate geometry.

Definition: Let a point "P" be fixed inside a plane and let a line l pass through this point. The set of all points common to the plane and the line is called that plane perpendicular to the line at the fixed point. Such a plane is also known as a normal to the line at the fixed point, and its line is known as a normal to the given line at the fixed point in this chapter. In coordinate geometry, we use a Cartesian coordinate system to describe points in a plane.

Introduction of Coordinate Geometry

A Cartesian coordinate system assigns a unique pair of numbers, called coordinates, to each point in a plane. The coordinates of a point are the distances from the point to two fixed perpendicular lines, called axes. The first number is measured along the x-axis, and the second number is measured along the y-axis. The point (0, 0) is at the origin, and the point (x, y) has coordinates (x, y). The line x = 3 is the equation of the line that passes through the points (3, 0) and (0, 0). The line y = −2 is the equation of the line that passes through the points (0, −2) and (0, 0). The point (−1, 2) has coordinates (−1, 2). The distance between two points is measured by the length of the segment connecting them. The following figure shows the distance between points A(0, 0) and B(1, 3).

The Free PDF download of RS Aggarwal Solutions Class 10 Chapter 16 - Coordinate Geometry (Ex 16B) Exercise 16.2 solved by expert mathematics teachers on Vedantu is very helpful to prepare for the subject. All Ex 16.2 Questions with Solutions for RS Aggarwal Class 10 to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams. Register Online for Class 10 Science tuition on Vedantu.com to score more marks in the CBSE board examination.

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Conclusion

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FAQs on RS Aggarwal Solutions Class 10 Chapter 16 - Coordinate Geometry (Ex 16B) Exercise 16.2

1. What is RS Aggarwal Solutions Class 10 Chapter 16 - Coordinate Geometry (Ex 16B) Exercise 16.2?

RS Aggarwal Solutions Class 10 Chapter 16 - Coordinate Geometry (Ex 16B) Exercise 16.2 is a PDF of Questions and solutions for the Mathematics Book of Class 10 RS Aggarwal available for free at the Vedantu website. With the help of this book, students can learn how to solve questions in the coordinate geometry chapter and understand the subject very well. Students should practice the coordinate geometry chapter from RS Agarwal book so that there is no need to go for online tuition classes for this chapter, but if students want to learn this chapter in deep then students can definitely go for vedantu.com online coaching classes with the help of Vedantu students will be able to score more marks in their examinations and understand all the concepts related to this chapter.

2. What is the perpendicular or normal distance?

The perpendicular or normal distance is the perpendicular distance from the fixed point to the given line, and it is denoted by "p", which is nothing but the distance between any point on the line and a given point in a plane perpendicular to a given line is called perpendicular or normal distance. If students know how to find the normal length, then student definitely can score good marks in their examination, but if a student didn't know how to solve perpendicular distance, then a student can definitely go for online tuition classes or visit vedantu.com to get all the concepts related to perpendicular distance solved by expert mathematics teachers and score good marks in their examinations.

3. What is the equation of a plane passing through two points?

The equation of a plane passing through two points P1 (x₁, y₁) and P2 (x₂, y₂) is Ax + By + C = 0 . This is nothing but a linear equation in three variables and the coefficients of x, y and z are all zero. So, the equation of a plane can be written in general form as Ax + By + Cz = D, where A, B, C and D are constants. This is also known as the standard equation of a plane. If students want to score good marks in their examinations, then they should definitely practice this equation and try to understand how to solve it.

4. What is the distance between two points in a plane?

The distance between two points in a plane is the length of the straight line segment connecting them, and it is denoted by "d". The distance between two points can be found using the standard equation of a plane Ax + By + Cz = D, where A, B, C and D are constants. If a student doesn't know how to solve distance, then there is no need to worry. Students can definitely go for online tuition classes or visit vedantu.com to get all the concepts related to distance solved by expert teachers and score more marks in their examinations, or if a student knows all the concepts of this chapter, then the student can definitely go with RS Agarwal book and solve as many questions as a student want to solve with the help of practice the question student can score good marks in their examinations.

5. What are the different conditions for a straight line?

A straight line satisfies the following conditions: (1) It contains all points on one side of the straight line, which passes through two given distinct points, so it passes through the third point. (2) It is uniquely determined by any two of its points. The straight line which satisfies these conditions is called Normal Straight Line or Perpendicular to the given line, and it is denoted by "n". If students want to solve this type of question, then they should definitely practice the coordinate geometry chapter from the RS Agarwal book and try to understand all the concepts related to it.