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salantis
7 days ago
14

Find all points on the circle (x^2) + (y^2) = 676 where the slope is 5/12

Mathematics
1 answer:
zzz [9K]7 days ago
8 0
Implicit differentiation: remember that dy/dx y = dy/dx, so take the derivative of both sides. To solve for the derivative, subtract 2x from both sides, then divide by 2y. When considering the slope, solve for it and determine where the circle intersects with the line. Substitute for y and proceed by multiplying both sides. Take the square root of both sides, accounting for both positive and negative roots, leading to x = ±10. Thus, the points located are (10,-24) and (-10,24).
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