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  • The roots of a quadratic equation can be found using the formula:
    Description: 36894.png 
  • For the equation ax 2 + bx + c = 0, we have x2– (sum of roots) x + (product of roots) = 0
  • Distance between two points A(x1, y1) and B(x2, y2) is given by
    Description: 36888.png 
  • The coordinates of a point P, which divides the line joining two points A(x1, y1) and B(x2, y2) in the ratio m:n is given as
    Description: 36882.png
    Description: 36876.png  
  • The midpoint of the line joining two points A(x1, y1) and B(x2, y2) is given by
    Description: 36869.png 
  • The centroid G(x, y) of a ∆ ABC with vertices A(x1, y1), B(x2, y2) and C(x3, y3) is given by
    Description: 36855.png 
  • Area of a ∆ is given by Description: 36842.png Sq.units
  • If three points Description: 36835.png 
  • If A(x1, y1) and B(x2, y2) are two points, then the ratio Description: 36829.png gives the slope of the line joining the point AB.
  • Let m1 and m2 be the slopes of two lines, then
    • m1 = m2, if the lines are parallel
    • Description: 36823.png= –1, if the lines are perpendicular
  • Equations of a line:
    • Point-slope form of line is given by ( y – y1) = m (x – x1).
    • Two points form a line is given byDescription: 36817.png 
    • Intercept form of a line is given by Description: 36811.png
    • General form of the equation of a line is given by ax + by + c = 0
    • The equation of a line passing through the point of intersection of the lines ax + by + c = 0 and a1x + b1 y + c1 = 0 can be written as ax + by + c + k (a1x + b1 y + c1) = 0, where k is any constant.

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