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15-03-2024
Mathematics

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Determine the equation of the line passing through the origin that is tangent to the circle (x - 7)² + (y - 24)² = 625?

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nikvist nikvist

15-03-2024

Answer:

Step-by-step explanation:

[tex](x - 7)^2 + (y - 24)^2 = 625/\frac{d}{dx}\\2(x-7)+2(y-24)y'=0,\quad y'=-\frac{x-7}{y-24}\\y-y_0=y'(x_0)(x-x_0),\quad (x_0,y_0)=(0,0)\\y=-\frac{7}{24}x[/tex]

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