True/False: Determine whether each of the statements that follow is true or false. If a statement is true, explain why. If a statement is false, provide a counterexample.(a) True or False: If π/2 <θ<π, then the point (r, θ) is located in the second quadrant when it is plotted in a polar coordinate system.(b) True or False: The graph of r = sin 5θ is a five-petaled rose.(c) True or False: The graph of r = cos 6θ is a six-petaled rose. (d) True or False: If a graph in the polar plane is symmetrical with respect to the origin, then for every polar point (r, θ) on the graph, the polar point (−r, θ + 2π) is also on the graph.(e) True or False: The graph of a polar function r = f(θ) is symmetrical with respect to the y-axis if, for every point (r, θ) on the graph, the point (r, −θ) is also on the graph.(f) True or False: When k is a positive integer, the polar roses r = sin kθ and r = cos kθ are symmetrical with respect to both the x-axis and y-axis if and only if k is even.(g) True or False: In the rectangular coordinate system the graph of the equation (x 2+y 2) 2 = k(x 2−y 2) is a lemniscate for every k > 0. (h) True or False: In the rectangular coordinate system the only function y = f(x) that is symmetrical with respect to both the y-axis and the origin is y = 0.