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  • Plot the points P (1, 0), Q (4, 0) and S (1, 3). Find the coordinates of the point R such that PQRS is a square.

Plot the points P (1, 0), Q (4, 0) and S (1, 3). Find the coordinates of the point R such that PQRS is a square.

Answers (1)

Answer: (4, 3)

Solution.

Given 
P (1, 0): Lies on x-axis at a distance of 1 unit from y-axis 
Q (4, 0): Lies on x-axis at a distance of 1 unit from y-axis
Length of PQ = 4 -1 = 3 units
Let coordinates of point R be (x, y)
Now, as PQRS is a square (PQ = QR = RS = SP)
Consider, 
PQ = RS
3 = x - 1
So, x = 4
Similarly,
PQ = QR
3 = y - 0
So, y = 3
Hence, R is (4, 3)
The graph is as follows:

Posted by

infoexpert26

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