For each value of kk specified in parts (a)–(e), plot the set of points in the plane that satisfy the equationx2 / k − y2 = 1.a. k = −1b. k = 1c. k = 2d. k = 4e. k = 10f. k = 25g. Describe what happens to the graph ofx2 / k − y2 = 1 as k → [infinity].

Answer:Seee answer below.Step-by-step explanation:a. k = −1 If K=-1 the equation gets this form:(x^2/-1) -y^2=1There aren't natural numbers that being negative, adding them, we get 1 as result. So there is no graph for this equation.b. k = 1 (x^2/1) -y^2=1This is the natural form of the equation of an hyperbola. Attached you can find the graph.c. k = 2 (x^2/2) -y^2=1This is the natural form of the equation of an hyperbola. Attached you can find the graph.d. k = 4 (x^2/4) -y^2=1This is the natural form of the equation of an hyperbola. Attached you can find the graph.e. k = 10 (x^2/10) -y^2=1This is the natural form of the equation of an hyperbola. Attached you can find the graph.f. k = 25(x^2/25) -y^2=1This is the natural form of the equation of an hyperbola. Attached you can find the graph.g. Describe what happens to the graph of x2 / k − y2 = 1 as k → [infinity].As K is increasing the value of X will be tending to 0. So the equation for this will be:− y^2 = 1.The solution for this is in the domain of the imaginary numbers.