Solveeit Logo

Question

Question: If xy = 10 then minimum value of 12x<sup>2</sup>+ 13y<sup>2</sup> is equal to –...

If xy = 10 then minimum value of 12x2+ 13y2 is equal to –

A

15

B

403940\sqrt{39}

C

3133\sqrt{13}

D

301330\sqrt{13}

Answer

403940\sqrt{39}

Explanation

Solution

12x2+13y22\frac{12x^{2} + 13y^{2}}{2}³ (12x2)(13y2)\sqrt{(12x^{2})(13y^{2})}

̃ 12x2 + 13y2 ³ 403940\sqrt{39}min.