Question:
Find the coordinates of the points which divide the line segment joining A(– 2, 2) and B(2, 8) into four equal parts.
Find the coordinates of the points which divide the line segment joining A(– 2, 2) and B(2, 8) into four equal parts.
Updated On: Nov 4, 2023
Hide Solution
Verified By Collegedunia
Solution and Explanation
From the figure it is observed that points P,Q,R are dividing the line segment in a ratio 1:3,1:1,3:1 respectively,
Coordinates of P=\((\frac{1\times2+3\times(-2)}{1+3},\frac{1\times8+3\times2}{1+3})\)=\((-1,\frac{7}{2})\)
Coordinates of Q= \((\frac{2+(-2)}{2},\frac{2+8}{3+1})=(0,5)\)
Coordinates of R= \((\frac{3\times2+1\times(-2)}{1+3},\frac{3\times8+1\times2}{3+1})=(1,\frac{13}{2})\)
Was this answer helpful?
0
0
Top Questions on Coordinate Geometry
- The vertices of a quadrilateral ABCD are A(6, – 2), B(9, 2), C(5, – 1) and D(2, – 5). Prove that ABCD is a rhombus, and not a square.
- CBSE Class X - 2024
- Mathematics
- Coordinate Geometry
- A circle is inscribed in a right-angled triangle ABC, right-angled at B. If BC = 7 cm and AB = 24 cm, find the radius of the circle
- CBSE Class X - 2024
- Mathematics
- Coordinate Geometry
- The perpendicular bisector of the line segment joining the points A(–1, 3) and B(2, 4) cuts the y-axis at :
- CBSE Class X - 2024
- Mathematics
- Coordinate Geometry
- Find the co-ordinates of the points of trisection of the line segment joining the points \((-2, 2)\) and \((7, -4)\).
- CBSE Class X - 2024
- Mathematics
- Coordinate Geometry
- The diameter of a circle is of length 6 cm. If one end of the diameter is \((-4, 0)\), the other end on \(x\)-axis is at:
- CBSE Class X - 2024
- Mathematics
- Coordinate Geometry
View More Questions
Questions Asked in CBSE X exam
- Enumerate the benefits of having an access control system installed in a premise.
- CBSE Class X - 2024
- Security Structure
- Enlist any four formatting options provided by Gmail for you to compose an email.
- CBSE Class X - 2024
- Email Messaging
- You are a security supervisor in a hospital. Your security manager has asked you to check the signage system in the hospital building and prepare a report. What all aspects would you check in this regard?
- CBSE Class X - 2024
- Security Structure
- Write about any two provisions of Rajiv Gandhi Shramik Kalyan Yojna, 2005.
- CBSE Class X - 2024
- Laws Governing Private Security
- Why are ground search and rescue services increasingly required in urban and sub-urban areas to locate which persons?
- CBSE Class X - 2024
- Disaster Management and Emergency Response
View More Questions
Concepts Used:
Coordinate Geometry
Coordinate geometry, also known as analytical geometry or Cartesian geometry, is a branch of mathematics that combines algebraic techniques with the principles of geometry. It provides a way to represent geometric figures and solve problems using algebraic equations and coordinate systems.
The central idea in coordinate geometry is to assign numerical coordinates to points in a plane or space, which allows us to describe their positions and relationships using algebraic equations. The most common coordinate system is the Cartesian coordinate system, named after the French mathematician and philosopher René Descartes.
The central idea in coordinate geometry is to assign numerical coordinates to points in a plane or space, which allows us to describe their positions and relationships using algebraic equations. The most common coordinate system is the Cartesian coordinate system, named after the French mathematician and philosopher René Descartes.