The least value of the Expression x...
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The least value of the Expression x2 + 4y? +3z2 - 2x - 12y - 62 +14 is (B) 1 (C) no least value (D) none of these (A) 0

JEE/Engineering Exams
Maths
Solution
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eonsider [ x^{2}+4 y^{2}+3 z^{2}-2 x-12 y-6 z+14 ] splil the terms [ frac{x^{2}-2 x+1+4 y^{2}-12 y+9+3 z^{2}-6 z+3+1}{(x-1)^{2}+(2 y-3)^{2}+3(2-1)^{2}+15} ] We know that leasl' vatue thale square of number ean give is 0 a real numer is answer
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