What are the coordinates of the position of a player Q such that his distance from K is twice his distance from E and K, Q and E are collinear?
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Given:
The distance of Q from K is twice the distance from E.
E and Q are collinear
To Find
the coordinate position of player Q
Solution:
Let the coordinates of the position of a player Q such that his distance from
K(-4, 1) twice his distance from E(2, 1) be Q(x, y)
∴ QK= 2× QE
Also, as we know K, Q, and E are collinear
KQ : QE = 2:1Q(x, y)
= [(2 × 2) + (1 × -43), (2×1)+(1×13)]
= (0, 1)
Therefore, the coordinates of the position of a player Q is (0, 1).
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