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- Find the distance between the following pairs of points: (i) (2, 3), (4, 1) (ii) (-5, 7), (-1, 3) (iii) (a, b), (- a, – b) Solution: Distance formula to find the distance between two points (x1, y1) and (x2, y2) is, say d,
- Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B discussed in Section 7.2. Solution
- Determine if the points (1, 5), (2, 3) and (-2, -11) are collinear. Solution: The sum of the lengths of any two line segments is equal to the length of the third line segment then all three points are collinear.
- Check whether (5, – 2), (6, 4) and (7, – 2) are the vertices of an isosceles triangle. Solution: Since two sides of any isosceles triangle are equal. To check whether given points are vertices of an isosceles triangle, we will find the distance between all the points.
- Coordinate of A Point in XY – Plane
- Sign-Conventions in The Xy-Plane
- Distance Formula
- Section Formula
- Mid-Point Formula
- Area of A Triangle
The Perpendicular distance of x a point from the y-axis is called its x-coordinate or abscissa. The perpendicular distance y of a point from the x-axis is called its y-coordinate or ordinate. The x and y taken together in order is called coordinte of point denoted by (x, y). The coordinate of the points on x-axis are of the form (x, 0) and the poin...
The x and y-axis divide the plane into four parts known as quadrants denoted by I, II, III and IV. The sign of x and y-coordinates in each of the quadrant is shown below:
The distance between any two points P(x1, y1) and Q(x2, y2) in the plane is given by, Also the distance of the point P(x1, y1) from the origin is
The coordinates of the point P(x, y) which divides the line segment joining the points A(x1, y1) and B(x2, y2) internally in the ratio m1 : m2 i.e., PAPB=m1m2 The coordinates of the point P(x, y) which divides the line segment joining the points A(x1, y1) and B(x2, y2) externally in the ratio, m1 : m2 i.e., PAPB=m1m2 are (iii) If the ratio in which...
The coordinates of the mid point P of the line segment joining the points A(x1, y1) and B(x2, y2) is
The area of ∆ABC formed by the vertices A(x1, y1), B(x2, y2) is given by Note: (i) Area of triangle = 12 × base × Altitude (ii) Area of polygon can be calculated by dividing it into the triangular region. (iii) If three points are collinear then area of the triangle formed by them is zero.
May 20, 2024 · Find the distance formula and apply it to various problems in coordinate geometry. Download or view the solutions in PDF or video format for CBSE and other boards using NCERT Books 2024-25.
- Exercise 7.1
- NCERT Solutions and Practice Questions
- Mathematics
- Coordinate Geometry
3 days ago · Find detailed answers to the exercises on coordinate geometry concepts and formulas. Learn how to plot points, find distances, and determine coordinates with examples and videos.
- Coordinate Geometry of NCERT Class 10 Maths syllabus will teach you how to find the distance between points with the given coordinates and you shal...
- Area of a Triangle: In this part of Coordinate Geometry from Class 10 Maths Chapter 7 of NCERT Solutions, you will be solving the questions based o...
- Distance from Origin:Here, in NCERT Solutions for Class 10 Maths Chapter 7, you will have to find the distance from the origin to the given point,...
- You can improve your grades with our help. We at Vedantu have a team of experts who understand the academic needs and requirements of students. The...
- Exercise 7.1 of Chapter 7 of Class 10 Maths consists of 10 questions in total. These questions are very well explained in detailed steps in NCERT s...
- Coordinate geometry may be defined as a study of geometry with the help of a coordinate system. It is a section of geometry using which the positio...
- The distance formula in the chapter is used to find the distance between the two points in the plane of XY. The distance of the point from the Y-ax...
- Collinear points refer to three or more than three points lying on a line. So, when they join and extend, it forms one straight line. In case the p...
- The three different formulas are the Distance formula, Slope formula and Area Of A Triangle.If A, B and C are the collinear points then AB+BC=AC We...
NCERT solutions for class 10 maths chapter 7 exercise 7.1 Coordinate Geometry has 10 questions based on the application of the distance formula. These problems deal with finding the distance between two points lying in the cartesian plane. The questions are largely based on real-life situations.
NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry covers all the exercises provided in the NCERT textbook. These NCERT solutions, prepared by experts at BYJU’S, are comprehensive study material for the students preparing for the CBSE Class 10 board examination.
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We are providing the PDFs for the 10th standard Mathematics Chapter 7 – Coordinate Geometry Exercise 7.1. Furthermore, you can even download it from our website, and it is free. You can download NCERT Solutions for Class 10 Maths Chapter 7 by clicking on the button below.
