Coordinate Geometry

Coordinate Geometry

A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.

Coordinate Geometry

  • Coordinate geometry is the study of geometric figures by plotting them in the coordinate axes.
  • Figures such as straight lines, curves, circles, ellipse, hyperbola, polygons, can be easily drawn and presented to scale in the coordinate axes.

  • Find the distance between the pairs of points (6 , 6) and (15 , 13) )



    Practice

  • Find the distance between the pairs of points (-9 , 6) and (4 , -4) )



    Practice

  • Find the point on the x-axis which is equidistant from A(48 , 96) and B(16 , 32)



    Practice

  • Q. Find the coordinates of the point which divides the line segment joining the points (8 , 12) and (8 , 4) in the ratio 6 : 2 internally.



    Practice

  • Q: Find the area of a triangle whose vertices are (10, 10), (10, 10) and (7, 16).



    Practice

  • Q: Find the value of k if the points A(5, 4), B(10, k) and C(7, 16) are collinear.



    Practice

  • Q: If A(4, 8), B(5, 10), C(6, 16) and D(16, 18) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.



    Practice

  • Q: Find the area of a triangle whose vertices are (3, -12), (9, -16) and (-2, 6).



    Practice

  • Find the centre of a circle passing through the points (6, – 6), (3, – 7) and (3, 3).



    Practice