# Coordinate Geometry: Class 10 Optional Mathematics Solutions

In Coordinate Geometry, 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.

**Table Of Content :-**

You can click on the table of content given above to direct jump on the main exercise PDF if you are facing problem while searching for exercises.

## Chapter - 8

__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, | m1 = m2 |

For Perpendicular Lines, | m1m2 = -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.

Now without any delay let's have a look at the solutions of Coordinate geometry chapter.

### Exercise - 8.1 Solutions PDF

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### Exercise - 8.2 Solutions PDF

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### Exercise - 8.3 Solutions PDF

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## Are All the Answers Correct?

Before I answer this question, let me make you clear that I'm neither a teacher nor a topper student. I'm just an average student of my class. So, I can't provide you the guarantee that all the answers are correct. There may be some minor mistakes in answers but the process of solving the problems are correct.

You can recheck the answers before copying, by doing so you can avoid mistakes. If there are mistakes in process of solving the problems then let me know through your comments.

## Is Class 10 Optional Math Guide Helpful For Student?

Of course, Class 10 Optional Mathematics guide is very much helpful for students who wants to score good marks in their examination. Optional mathematics guide contains all the excercise of Optional book with their solutions.

This guide will help you to clear your confusion which you might face while solving optional mathematics questions. You can easily solve the questions by looking the notes given above which are in pdf form.

You have to use this note as a reference for helping you while solving problems. You shouldn't depend fully on this note to complete your excercise, if you do so then it might affect your studies.

## How to secure good marks in Mathematics?

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.

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.

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Awesome,fantastic,extra ordinary,mind blowing.......answer

Can you also provide book pages of the exercise