10th analytical geometry worksheets

In this page 10th analytical geometry worksheets, you can find lots of worksheets for 10th grade.

Area of triangle:

  1. To find area of any triangle with three vertices first we have to draw the picture by using the given points.
  2. All areas are positive. So area of triangle must be positive so the points (x₁,y₁) (x₂,y₂) and (x₃,y₃) taken in order should be in the counter clockwise direction.
  3. If the given points are taken in the order are in clockwise the the area will be in negative number.




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Section formula:

To find the coordinates of the point which divides internally the line segment joining two given points (x₁ ,y₁) and (x₂,y₂) in the given ratio m:n

To find the coordinates of the point which divides Externally the line segment joining two given points (x₁ ,y₁) and (x₂,y₂) in the given ratio m:n



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Centroid of the triangle:

There are three medians of the triangle and they are concurrent at a point O,that point is called the centroid of a triangle.


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Distance between two points:

To find the distance between two points joining the the line segment (x₁ ,y₁) and (x₂,y₂) is called distance between two points.


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Equation of the line

There are many methods to find the equation of the line.

(i) Equation of the line using two points on the line

(ii) Equation of the line using point and slope

(iii) Equation of the line using x and y intercepts

(iv) Equation of the line using slope and y-intercept.



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Point of intersection:

If two straight lines are not parallel,then they will meet at a point.This common point for both,straight lines is called the point of intersection.If the equations of two intersecting straight lines are given,then their intersecting point is obtained by solving equations simultaneously.



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10th analytical geometry worksheets 10th analytical geometry worksheets


Concurrency of straight line:

If three or more straight lines passing through the same point then that common point is called the point of concurrency


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Orthocentre of the triangle:

It can be shown that the altitudes of a triangle are concurrent and the point of concurrence is called the orthocentre of the triangle.The orthocentre is denoted by O.


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