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Question

A(2, 6), B(6, 6) and C(6, 3) are the coordinates of a triangle. D, E and F are the reflection points of A, B and C respectively about X = 0. G, H and K are the reflection points of D,E and F respectively about Y = 1. The value of (sum of the y - coordinates of H and K) - (sum of the x - coordinates of G and H) is

A
1
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B
2
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C
3
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D
None of these
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Solution

The correct option is C 3

Sum of the y - coordinates of H and K = -4 - 1 = -5
Sum of the x - coordinates of G and H = -2 - 6 = -8
(Sum of the y - coordinates of H and K) - (Sum of the x - coordinates of G and H) = -5 + 8 = 3

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