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how can i create a circle with a radius leading to a point p with a tangent on the point p?

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Callum Davies
Callum Davies 2022-12-23
关闭： John D'Errico 2022-12-23
I need a script to create a circle from a fixed point defined 𝑥 = 𝑟 cos 𝜃 + 𝑥0 𝑦 = 𝑟 sin 𝜃 + 𝑦0 with a radius plotted between (𝑥0, 𝑦0 ) and (𝑥𝑃, 𝑦𝑃 ) and a tangent line (𝑥𝑡 , 𝑦𝑡) are defined as follows: When 𝑦𝑃 ≠ 𝑦0 𝑥𝑃 − 2 ≤ 𝑥𝑡 ≤ 𝑥𝑃 + 2 𝑦𝑡 = 𝑚𝑡 (𝑥𝑡 − 𝑥𝑃 ) + 𝑦𝑃, When 𝑦𝑃 = 𝑦0 𝑥𝑡 = 𝑥𝑃 𝑦𝑃 − 5 ≤ 𝑦𝑡 ≤ 𝑦𝑃 + 5.
The MATLAB script must include the following: • User input for o The radius of the circle o The coordinates of the centre of the circle o The coordinates of the point 𝑃 • All calculations, including the calculation for the gradient of the tangent • The commands to: o Create a single figure containing all three lines/curves o Create a legend on the figure o Label the figure axes o Choose appropriate limits for the axes to ensure the circle does not touch the axes at any point o Set the aspect ratio of the figure to be 1:1 (use the MATLAB help to find the correct command to do this) • Comments describing the code

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