While minimizing the function f(x), necessary and sufficient conditions for a point x0 to be a minima are

While minimizing the function f(x), necessary and sufficient conditions for a point x0 to be a minima are Correct Answer f'(x<sub>0</sub>) = 0 and f''(x<sub>0</sub>) &gt; 0

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How far is point 'R' from Point 'T'? Statement (I): Point 'R' is 5 metres to the north of point 'M'. Point 'U' is 4 metres to the east of point 'R'. Point 'T' is to the west of point 'R' such that points 'U' 'R' and 'T' form a straight line of  metres. Statement (II): Point 'Z' is metres to the south of point 'T'. Point 'U' is  metres to the east of point 'T'. Point 'M' is  metres to the east of point 'Z'. Point 'R' is  metres to the north of point 'M'. Point 'R' lies on the line formed by joining points 'T' and 'U'.