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tmua.me Medium Set F Paper 1 · Q18

Paper 1Geometry

The points A=(1,2)A=(1,2) and B=(4,6)B=(4,6) are adjacent vertices of a square.

The centre of the square has xx-coordinate less than 11. What are the coordinates of the centre?

A(52,4)\left(\frac52,4\right)
B(12,112)\left(\frac12,\frac{11}2\right)
C(92,52)\left(\frac92,\frac52\right)
D(−32,7)\left(-\frac32,7\right)
E(12,52)\left(\frac12,\frac52\right)

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