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IIT JEE 2007 Practice : MATHEMATICS - Subjective Problems

This section contains 4 numerical problems. The answer to each of the questions would lie between 0 and 9999. You have to simply write the correct numerical value in the input box provided. You will be awarded 6 marks for correct numerical value and 0 for an incorrect value.
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A variable plane at a distance of 1 unit from the origin cuts the co-ordinate axes at points A, B and C. If the centroid D (x', y', z') of ΔABC always satisfies the relation x' −2 + y' −2 + z' −2 = k, then the value of k is

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