If 3x + 2y = 12 and xy = 6, then 9x^{2} + 4y^{2} = ______.

यदि 3x + 2y = 12 और xy = 6, तो 9x^{2} + 4y^{2} = ______।

36

144

72

52

Given, 3x+2y=12 , xy=6

(3x+2y)^{2 } =12^{2} (3x)^{2} + (2y)^{2} + 2 (3x) (2y)=144^{ } 9x^{2 }+4y^{2 }+12xy=144 9x^{2 }+4y^{2 }+(12×6)=144 9x^{2 }+4y^{2 }+72=144 9x^{2 }+4y^{2 }=144 - 72 9x^{2 }+4y^{2 }=72

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