1. The equation 2x^2+3y^2 = 12 represents which conic section?*4 pointsa) Circleb) Ellipsec) Parabolad) Hyperbola2.  For the equation (x−4)^2​/16 + y^2/9 ​= 1, identify the type of conic section.*4 pointsa) Circleb) Ellipsec) Parabolad) Hyperbola3.  The equation y^2 = 16x represents which type of conic section?*4 pointsa) Circleb) Ellipsec) Parabolad) Hyperbola4.  For the hyperbola (x+2)^2​/ 9  − y^2/4 ​= 1, what are the coordinates of the center?*4 pointsa) (-2, 0)b) (2, 0)c) (0, -2)d) (0, 2)5.  The equation x^2−6x+9+y^2 = 0 represents which conic section?*4 pointsa) Circleb) Ellipsec) Parabolad) Hyperbola

The equation 2x^2+3y^2 = 12 represents an ellipse. This is because both x and y are squared and have different coefficients.

The equation (x−4)^2​/16 + y^2/9 ​= 1 also represents an ellipse. This is because both x and y are squared and the equation is equal to 1.

The equation y^2 = 16x represents a parabola. This is because only one variable is squared.

For the hyperbola (x+2)^2​/ 9 - y^2/4 ​= 1, the coordinates of the center are (-2, 0). This is because the x term in the equation is (x+2), which shifts the center 2 units to the left on the x-axis.

The equation x^2−6x+9+y^2 = 0 represents a circle. This is because the equation can be rewritten as (x-3)^2 + y^2 = 0, which is the standard form of a circle's equation.