In this page analytical geometry you can find many sub topics in this main topic.

Rene Descartes(1596-2650) whose "La Geometric" was published in 1637 as an appendix to his "Discours de la methods" is regarded as the inventor as analytical geo-metry and modern analytical geometry is called Cartesian Geometry after him.

However the fundamental principles and methods of this topic were already discovered by Pierre de Fermat earlier.

Descartes procedure in geometry was to begin with a geometry problem to convert it into an algebraic equation simplify it and then solve the equation geometric.

However, even the usual formula for distance between two points,slope and angle between two straight lines are not to be found in this work of Decartes.

These are due to later mathematicians like Clairaut, Monge and Larcoin. Newton used several types of co-ordinates including polar and bipolar.L'Hospital had written a famous text book.

On this page you can find the topics ratio formula,slope of the line,the distance between two points,area of triangle,area of quadrilateral,mid point formula, centroid formula, the method of finding the point of intersection, orthocenter.

Each page consists of definition example problems with pictures and detailed solution.These pages will be very useful to the learners.

We have given step by step explanation of each topic. This will improve your learning techniques. These topics are more important for 10th grade students.

People who are going to attend the competitive exams like GED must practice these concepts step by step.If we handle each problem with pictures it will be very easy to understand and we can try the other things on your own.

- Section formula
- Area of triangle
- Area of triangle worksheets
- Area of quadrilateral
- Centroid
- Centroid of the triangle worksheets
- Finding missing vertex using centroid worksheet
- Midpoint
- Distance between two points
- Distance between two points worksheet
- Slope of the line
- Equation of the line
- Equation of line using two points worksheet
- Equation of the line using point and slope worksheets
- Point of intersection of two lines
- Point of intersection Worksheets
- concurrency of straight line
- Concurrency of straight lines worksheet
- Circumcentre of a triangle
- Circumcentre of Triangle Worksheet
- Orthocentre of a triangle
- Orthocentre of Triangle Worksheet
- Incentre of a triangle
- Locus
- Perpendicular distance
- Angle between two straight lines
- Equation of a circle
- With center and radius
- With endpoints of a diameter
- Equation of a circle passing though three points
- Length of the tangent to a circle
- Equation of the tangent to a circle
- Family of circles
- Orthogonal circles
- Parabola
- Ellipse

After having gone through the stuff given above, we hope that the students would have understood "Analytical geometry".

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**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**