In Coordinate Geometry Class 10, we learn to locate the position of a certain point with the help of ordered pair of numbered which is also called Coordinates. In this chapter we are going to learn how to find distance between two points, midpoint of two points, slope and equation of a line.
Coordinate Geometry is also a lengthy chapter of class 10 optional maths. Today I have brought the solution PDF for Coordinate Geometry chapter of class 10 optional mathematics. Due to large number of excercises I have divided the PDF according to exercise number. So in total there are 3 PDF.
You can click on the button given above to direct jump on the main exercise PDF if you are facing problem while searching for exercises.
 Chapter – 8 Â
Coordinate Geometry
Before we move to exercises, you need to know some basic formulas which will help you in solving overall problems of Coordinate Geometry. Please go through the formulas given below:
| All Formulas Of Coordinate Geometry | |
|---|---|
| General Form of a Line | Ax + By + C = 0 |
| Slope Intercept Form of a Line | y = mx + c |
| Point-Slope Form | y − y1= m(x − x1) |
| The slope of a Line Using Coordinates | m = Δy/Δx = (y2 − y1)/(x2 − x1) |
| The slope of a Line Using General Equation | m = −(A/B) |
| Intercept-Intercept Form | x/a + y/b = 1 |
| Distance Formula | |P1P2| = √[(x2 − x1)2 + (y2 − y1)2] |
| For Parallel Lines, | m1Â = m2 |
| For Perpendicular Lines, | m1m2Â = -1 |
| Midpoint Formula | M (x, y) = [½(x1 + x2), ½(y1 + y2)] |
| Angle Formula | tan θ = [(m1 – m2)/ 1 + m1m2] |
| Area of a Triangle Formula | ½ |x1(y2−y3)+x2(y3–y1)+x3(y1–y2)| |
| Distance from a Point to a Line | d = [|Ax0 + By0 + C| / √(A2 + B2)] |
If you want to download the PDF then you can easily download them. You’ll find a download button below every PDF file. You can click there and download the file and use if for preparing notes or for your exam without hesitation.
Now without any delay let’s have a look at the solutions of Coordinate geometry chapter.Â
Coordinate Geometry Class 10 Optional Mathematics Exercise – 8.1 Solutions
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If you happen to find any errors in our solutions PDF, please let us know in the comments. Your feedback would be incredibly valuable and would allow us to improve the quality of this resource.
Coordinate Geometry Class 10 Optional Mathematics Exercise – 8.2 Solutions
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Coordinate Geometry Class 10 Optional Mathematics Exercise – 8.3 Solutions
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Are all the Solutions of Coordinate Geometry Class 10 Correct?Â
All the solutions available on this site have been managed and uploaded by a fellow student who, like you, was in Class 10 not long ago. Most of these solutions come directly from my personal notes, crafted during my time in school. While I’ve put effort into making the solutions clear and accurate, I want to be upfront that they might not be perfect. There could be minor mistakes in the methods or calculations here and there. However, the majority of answers and the problem-solving approaches are correct and should be helpful for your studies.
If you happen to find any errors in our solutions PDF, please let us know in the comments. Your feedback would be incredibly valuable and would allow us to improve the quality of this resource. We’ll work to fix any issues as quickly as possible. Additionally, if you prefer a more direct approach, you can reach out through our Telegram channel instead of commenting on this page. Your input and support are greatly appreciated as we strive to make these notes as helpful as possible!
Is Class 10 Optional Math Guide Helpful For Student?
The Class 10 Optional Maths Guide is an incredibly useful resource for students, especially those aiming to score high marks in their SEE Examination. This guide provides quick access to solutions, saving you the time and effort spent searching for answers online. It’s a great reference for SEE preparation, designed to support students in understanding key concepts and problem-solving methods.
Beyond exam prep, the Class 10 Optional Maths Guide is also perfect for completing assignments. Whenever you find yourself struggling with a particular question, you can rely on the guide for guidance and detailed answers. This guide is here to make your study process smoother, giving you the confidence and tools to succeed in your math studies.
How to Secure Good Marks in Mathematics?Â
Scoring good marks in optional mathematics is not so easy for an average student. As I already have mentioned that I’m also an average student as a result I always had a tough time while solving optional mathematics questions. Coordinate Geometry was another confusing chapter for me.Â
If you want to secure good marks in optional mathematics then you have to work hard. I personally used to go to coaching classes to practise optional mathematics. So I advice you to join coaching classes because it will really help you. You shouldn’t only depend on coaching classes, you have to practise personally also.Â
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