Mathematics
A(2, 5), B(-1, 2) and C(5, 8) are the vertices of a triangle ABC, 'M' is a point on AB such that AM : MB = 1 : 2. Find the coordinates of 'M'. Hence, find the equation of the line passing through C and M.
Straight Line Eq
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Answer
The triangle ABC is shown in the figure below:
Given AM : MB = 1 : 2. By section-formula the coordinates of M are,
Putting values we get,
Equation of line CM can be given by two-point formula i.e.,
Putting values in above equation we get,
Hence, the equation of CM is x - y + 3 = 0 and the coordinates of M are (1, 4).
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