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Question

$log subscript y end subscript invisible function application x plus log subscript x end subscript invisible function application y equals 1 comma blank x to the power of 2 end exponent plus y equals 12 comma blank$ then the value of $x y$ is

9
12
15
21

The correct answer is: 9

$L e t blank t equals log subscript y end subscript invisible function application x open parentheses x comma blank y greater than 0 comma blank a n d blank not equal to 1 close parentheses comma blank t h e n blank t plus fraction numerator 1 over denominator t end fraction equals 2 blank o r blank open parentheses t minus 1 close parentheses to the power of 2 end exponent equals 0$
$therefore t equals log subscript y end subscript invisible function application x equals 1 comma blank i. e. comma blank x equals y. blank$ We get $blank x to the power of 2 end exponent plus x minus 12 equals 0 x equals negative 4 comma blank 3$
$x equals 3$ only $blank open parentheses negative 4 blank r e j e c t e d close parentheses$

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parallel

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parallel

$i s blank e q u a l blank t o$

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parallel

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parallel

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