hyperbola plot code

Author: ADIL8590

circles_plot.py

@@ -2,6 +2,8 @@
 import matplotlib.pyplot as plt
 import numpy as np
 # function to draw a circle
+center = tuple(map(float, input("Enter the center coordinates as x,y: ").split(',')))
+radius = float(input("Enter the radius of the circle: "))
 def draw_circle(ax, center, radius, color):
     circle = plt.Circle(center, radius, color=color, fill=False, linewidth=1)
     ax.add_artist(circle)
@@ -11,20 +13,20 @@ def draw_circle(ax, center, radius, color):
 # set aspect of the plot to be equal
 ax.set_aspect('equal')
 # set limits
-ax.set_xlim(-5, 5)
-ax.set_ylim(-5, 5)
-# draw circles
-draw_circle(ax, (0, 0), 4, 'blue')
+ax.set_xlim(-10, 10)
+ax.set_ylim(-10, 10)
+# draw circle with user input
+draw_circle(ax, center, radius, 'blue')
 # add labels and title
 ax.set_xlabel('X-axis')
 ax.set_ylabel('Y-axis')
-ax.plot(0, 0, 'ro')  # mark center
+ax.plot(center[0], center[1], 'ro')  # mark center
 # add grid and highlight X and Y axes
 ax.axhline(0, color='yellow',linewidth=0.5, ls='--')
 ax.axvline(0, color='yellow',linewidth=0.5, ls='--')
 ax.grid(color = 'gray', linestyle = '--', linewidth = 0.5)
 #add title
-plt.title('Circle with radius 4 centered at (0,0)')
+plt.title(f'Circle with radius {radius} centered at {center}')
 plt.show()
 # save the plot
 plt.savefig('circle_plot.png')

ellipse_def_plot.py

@@ -17,7 +17,7 @@ def plot_ellipse(a, b, ax):
 # Set limits
 ax.set_xlim(-10, 10)
 ax.set_ylim(-10, 10)
-# Plot ellipse with a=8, b=4
+# Plot ellipse with a and b from user input
 plot_ellipse(a, b, ax)
 # Add labels and title
 ax.set_xlabel('X-axis')

hyperbola_plot.py

@@ -2,6 +2,8 @@
 import numpy as np
 import matplotlib.pyplot as plt
 # Function to plot hyperbola
+a = int(input("Enter the value of a: "))
+b = int(input("Enter the value of b: "))
 def plot_hyperbola(a, b, ax):
     x = np.linspace(-10, 10, 400)
     y1 = b * np.sqrt((x**2 / a**2) - 1)
@@ -15,8 +17,8 @@ def plot_hyperbola(a, b, ax):
 # Set limits
 ax.set_xlim(-10, 10)
 ax.set_ylim(-10, 10)
-# Plot hyperbola with a=5, b=3
-plot_hyperbola(5, 3, ax)
+# Plot hyperbola with a and b from user input
+plot_hyperbola(a, b, ax)
 # Add labels and title
 ax.set_xlabel('X-axis')
 ax.set_ylabel('Y-axis')

parabola_plot.py

@@ -0,0 +1,31 @@
+# Plot parabolas of the form y^2 = 4ax by user-defined a
+import numpy as np
+import matplotlib.pyplot as plt
+# Function to plot Parabola
+a = float(input("Enter the value of a: "))
+def plot_parabola(a, ax):
+    x = np.linspace(-10, 10, 400)
+    y1 = 2 * np.sqrt(a * x)
+    y2 = -2 * np.sqrt(a * x)
+    ax.plot(x, y1, 'r', label=f'Parabola: y^2 = 4*{a}*x')
+    ax.plot(x, y2, 'r')
+# Create figure and axis
+fig, ax = plt.subplots()
+# Set aspect of the plot to be equal
+ax.set_aspect('equal')
+# Set limits
+ax.set_xlim(-10, 10)
+ax.set_ylim(-10, 10)
+# Plot parabola with a from user input
+plot_parabola(a, ax)
+# Add labels and title
+ax.set_xlabel('X-axis')
+ax.set_ylabel('Y-axis')
+plt.title(f'Parabola: y^2 = 4*{a}*x')
+# Add grid and highlight X and Y axes
+ax.grid(True)
+ax.axhline(0, color='black', linewidth=0.5)
+ax.axvline(0, color='black', linewidth=0.5)
+plt.show()
+# Save the plot
+plt.savefig('parabola_plot.png')