Question Details

Let a, b, x, y be real numbers such that $a^{2} + b^{2} = 25$ , $x^{2} + y^{2} = 169$ , and $a x + b y = 65$ . If $k = a y - b x$ , then

Options

A

k = 0

B

$k > 0$

C

$k = \frac{5}{13}$

D

$k = - \frac{5}{13}$

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