Co-ordinate Geometry
Maharashtra Board · Class 10 · Mathematics
All formulas from Co-ordinate Geometry in Maharashtra Board Class 10 Mathematics. Key equations, constants, and identities for board exam preparation.
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Formulas
Distance on a Number Line and in the XY Plane
Distance between P(-1) and Q(-5) on number line = 4
Distance between Q(-5) and R(4) on number line = 9
AB = √((x2 - x1)^2 + (y2 - y1)^2)
d(O,P) = √(x^2 + y^2)
AC = √17 for A(2,3) and C(-2,2)
Section Formula, Midpoint, and Centroid
Section formula (internal division): ((mx2 + nx1)/(m + n), (my2 + ny1)/(m + n))
Midpoint formula: ((x1 + x2)/2, (y1 + y2)/2)
Centroid formula: ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3)
AG:GD = 2:1
AP/PB = CQ/QD = m/n
Slope of a Line
m = (y2 - y1)/(x2 - x1)
m = tan θ
Slope of X-axis = (0 - 0)/(x2 - x1) = 0
Slope of Y-axis = (y2 - y1)/(0 - 0)
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