We will first consider the given polar coordinates, The objective is to write the equation in standard form. Since we know that the standard form is as follows: Now, we will divide the numerator and denominator by 2.
Hence, the required standard form is (b) The next objective is to determine the values of e and p. On comparing with standard form, we get, Thus, the values are . (c) Next, identify the conic section using the value of eccentricity. Since we know that the eccentricity of an ellipse which is not a circle is greater than zero but less than 1. Here, . Hence, we can conclude that the given conic equation is of ellipse.