Class 10 Maths: Coordinate Geometry Olympiad Questions

The term coordinate geometry refers to getting the solution with the help of algebraic methods. The major formula is present for the distance between two points that we have to use. The formula consists of x and y terms.

Formula:

• The formula for the coordinate geometry is represented by x and y.
• The formula is √(x2 - x1)^2 + (y2 - y1)^2
• The formula is also called the distance formula.
• The midpoint formula for the coordinate geometry is represented by x1, y1, and x2, y2.
• The slope of line is represented by m ,i.e. m = -a / b.

Triangle centroid:

• The centroid of the triangle is the point where the triangle's median intersection point is present.

Components of Coordinate geometry:

• Circle

  The circle is a defined set of all points within a coordinate plane. And it is equidistant from the plane's fixed points.

• Parabola

  It is the complete set of all the given points in a plane. And the sum of those points will remain constant.

• Hyperbola

  Hyperbola is when all the difference of the terms from the fixed plane remains constant.

• The inclination of a line

  The line inclination is from the points that make the constant angles with the x-axis.