Question: Q4. Any conic section can be defined as the locus of points whose distances to a point (the focus) and a line (the directrix) are

Q4. Any conic section can be defined as the locus of points whose distances to a point (the focus) and a line (the directrix) are in a constant ratio. That ratio is called the eccentricity, commonly denoted as e. The eccentricity can also be defined in terms of the intersection of a plane and a associated with the conic section. If the cone is oriented with its axis vertical, the eccentricity is e=sinsin,0,e>1, Hyperbola Write a C program conics . c that a prompt the user for alpha and beta and the program will output the conic section. Sample output: Enter the value of alpha between 0 and 90 degrees exclusive: 90 Invalid alpha Enter the value of alpha between 0 and 90 degrees exclusive: 45 Enter the value of beta between 0 and 90 degrees inclusive: 120 invalid beta! Enter the value of alpha between 0 and 90 degrees exclusive: 45 Enter the value of beta between 0 and 90 degrees inclusive: 0 Conic section is a circle Assignment 3 Enter the value of alpha between 0 and 90 degrees exclusive: 60 Enter the value of beta between 0 and 90 degrees inclusive: 30
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