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Find the coordinates of the points which divide the line segme

Question

Find the coordinates of the points which divide the line segment joining $A (2, 2) and B (2, 8)$ into four equal parts.

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Find the coordinates of the points which divide the line segment joining

A (2, 2) and B (2, 8)

into four equal parts.

13 mins ago

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Text solutionVerified

Solution:

P_{1}

=1:3

P_{2}

=1:1

P_{3}

=3:1

P (x, y) = (\frac{m _{1} x _{1} + m _{1} x _{2}}{m _{1} + m _{2}}), (\frac{m _{2} y _{1} + m _{1} y _{2}}{m _{1} + m _{2}})

P_{1} (x, y) = (\frac{- 6 + 2}{4}, \frac{6 + 8}{4}) = (- 1, \frac{7}{2})

P_{2} (x, y) = (\frac{2 - 2}{2}, \frac{8 + 2}{2}) = (0, 5)

P_{3} (x, y) = (\frac{6 - 2}{4}, \frac{26}{4}) = (1, \frac{13}{2})

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Question Text	Find the coordinates of the points which divide the line segment joining $A (2, 2) and B (2, 8)$ into four equal parts.
Answer Type	Text solution:1
Upvotes	150