Question

A bug (of negligible size) starts at the origin on the x-y coordinate plane. First it moves 1 unit right to (1.0). Then it makes a 90° turn counterclockwise and travels 1/2 a unit to (1,1/2). If it continues in this fashion, each time making a 90° turn counterclockwise and traveling half as far as in the previous move, to which of the following points will it come closest? GON O

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Answer 1

Page No - Anand 12 ره (درا) (5) 1 To find a - Cooddinate , 2 8 علا +] 2 2. از ها - زیر به دو تا ع داری می شود -1 =3 2 ۱ + (2) (2 2 2. + 2 - - با + 1- (2) | - (2) - = لا ہا | 16 ل -1 + 16 16 2 - | | ا --| 15 15 - ا+ہا - ls 15 12 15 ا - 2 5

Data Pago No Anand -- 5 Now, for y-coordinate, у y [ 1+(1+1)* )-[(4* (0)*+ (2) +1 17 9 + 2 2 t...o 2 2. - ta ya 12 114 - +-() I y 1 2 T-I 16 16 у 2 15 8. 15 6. 15 y 2 5 Hence, the closest Point is g 2 5 5

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