The least value of expression $x^{2} + 4 y^{2} + 9 z^{2}$ - 2x + 8y + 27z + 15 is :

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Solution

The correct option is D
None

$x^{2} + 4 y^{2} + 9 z^{2}$ - 2x + 8y + 27z + 15

= $(x - 1)^{2} + 4 (y + 1)^{2} + 9 (z + \frac{3}{2})^{2}$ - $\frac{41}{4}$

$\geq$ - $\frac{41}{4}$

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