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Most Important Selected Qs for JEE AdvancedMathematicsSequences and Series

Let x, y, z R⁺ such that x+y+z=27 . If maximum value of x^2 y^3 z^4 is 6¹⁰ , then find the value of .

Correct answer

9

Step-by-step solution

aligned & Let ( x 2 , x 2 , y 3 , y 3 , y 3 , z 4 , z 4 , z 4 , z 4 ) & GM AM & ( x^2 y^3 z^4 3^3 2¹⁰ )^ 1 9 3 & x^2 y^3 z^4 3¹² 2¹⁰ 9 6¹⁰ aligned

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