Mathematics
The points A, B and C divide the line segment joining the points P(-3, 8) and Q(9, -4) into four equal parts. If A is nearest to P, then the coordinates of A are:
(-3, 5)
(0, 5)
(3, 5)
(6, -1)
Section Formula
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Answer
Given,
The points dividing PQ into four equal parts be A, B and C such that A is nearest to P.
Since the line segment PQ is divided into four equal parts, the point A divides PQ in the ratio 1 : 3.
By section-formula,
(x, y) =
Substituting values we get :
Hence, Option 2 is the correct option.
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Related Questions
P is the mid-point of AB and Q is the mid-point of AP. If the coordinates of A are (2, -4) and coordinates of Q are (1, -1), then the coordinates of B are:
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(-2, 6)
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If a point divides the line segment PQ joining the points P(3, 5) and Q(x, y) in the ratio 2 : 3 internally, then the values of x and y respectively are :
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7, 8
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