| DIRECTION: Students of a school are standing in rows and columns in their playground for drill practice. A, B, C and D are the position of the four students as shown in the figure. |
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A) 2 units
B) \[2.14\]units
C) 8 units
D) \[2.3\]units
Correct Answer: D
Solution :
From the given figure, Coordinates of A, B, C and D are respectively \[(3,5),\,(7,1),\,(11,5)\]and \[(7,9)\] Distance from A to C \[=\sqrt{{{(11-3)}^{2}}+{{(5-5)}^{2}}}=8\] units Distance from A to D \[=\sqrt{{{(7-3)}^{2}}+{{(9-5)}^{{}}}}=4\sqrt{2}\] units \[\therefore \] Required difference \[=8-4\sqrt{2}=2.34\]units
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