Primary growth or lengthening of plants results from mitotic division in cells of which tissue? axillary buds lateral meristem apical meristem

Plants have meristematic tissue in many locations. Both roots and shoots have meristematic tissue at their tips called apical meristems, which are responsible for the lengthening of roots and shoots. 
The answer to the question above then is "apical meristem".

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this age may represent the age of the earth's accretion, of core formation, or of the material from which the earth formed. this dating is based on evidence from radiometric age-dating of meteorite material and is consistent with the radiometric ages of the oldest-known terrestrial and lunar samples.