Consider curve C of equation (x2 −2y + y2)2 = x2 + y2. Among the options indicated,select the one that correctly shows a possible equation for C in polar coordinates and the equation of a line tangent to the pole.

Q: Find the polar equation of the line y = 4x + 6 in terms of rand 0.

A: We have to convert the given rectangular equation into polar equation.

Q: The moon orbits aruund the Earth (which orbits around the Sun) in a clock wise fashion at a distance…

A: Let Earth(0,0) be the center of the orbit of moon and radius is of 0.2 AU in clockwise direction.…

Q: What is a polar equation?

A: Polar equation is an equation that gives the relationship between r and θ, where r is the distance…

Q: Find parametric equations for the position of the ball relative to the tee as a function of time…

A: By using the parametrization in first two part, To find the time of ball hit the ground and before…

Q: Find the polar equation of 3x2=4-3y2

A:

Q: Which of the following represents the rectangular equation x² + y²-5y-0 in a polar equation?

A:

Q: Identify the polar curve r = csc 0 by finding a Cartesian equation.

A: The given curve is r=csc θ.

Q: If an equation fails the test for symmetry with respect to the polar axis, what can you conclude?

A: The equation has failed the symmetry test, but that does not mean that it is not symmetric with…

Q: Ship X left the harbor at a speed of 25 n.m/hr Northeast while Ship Y is already in the ocean at…

A: We will draw diagram and then use co ordinate and trigonometry tp find required values