1.

The following moves are performed on g(x)

A. Pick (x<sub>0</sub>, y<sub>0</sub>) on g(x) and travel toward the left/right to reach the y = x line. Now travel above/below to reach g(x). Call this point on g(x) as (x<sub>1</sub>, y<sub>1</sub>)
B. Let the new position of (x<sub>0</sub>, y<sub>0</sub>)be (x<sub>0</sub>, y<sub>1</sub>)
C. and a new function is got. Again these steps may be repeated on new function and another function is obtained. It is observed that, of all the functions got, at a certain point (i.e. after finite number of moves) the n<sup>th</sup> derivatives of the intermediate function are constant, and the curve passes through the origin. Then which of the following functions could be g(x)
D. y = √1 – x<sup>2</sup>
Answer» E.


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