Match Column\(-I\) with Column\(-II :\) Choose the correct answer from the options given below:

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Answer & Solution

Correct Answer

(A) \((A)-(II), (B)-(IV), (C)-(III), (D)-(I)\)

Step-by-step Solution

Detailed explanation

\(\frac{d x}{d t}=\text { slope } \geq 0 \text { always increasing }\)

\(\text { (A - II) }\)

\(\frac{d x}{d t} < 0 \text {; and at } t \rightarrow \infty \frac{ dx }{ dt } \rightarrow 0\)

\(( B - IV )\)

\(\frac{ dx }{ dt } > 0 \text { for first half } \frac{ dx }{ dt } < 0 \text { for second half. }\)

\(\text { (C - III) }\)

\(\frac{ dx }{ dt }=\text { constant }\)

\(\text { (D - I) }\)

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