MESL Analytic Geometry

In general, quadratic equation, if the discriminant is zero, the curve is a figure that represent a/an

• parabola

• circle

• ellipse

• hyperbola

Equations relating x and y that cannot readily be solved explicitly for y as a function of x or for x as a function of y. Such equations may nonetheless determine y as a function of x or vice versa, such function is called

• logarithmic function

• implicit function

• explicit function

• continuous function

In polar coordinates system, the length of the ray segment from a fixed origin is known as ____.

• amplitude

• radius vector

• hypotenuse

• minimum point

Given the equation 3x^2 + 2x – 5y + 7 = 0. determine the curve.

• ellipse

• parabola

• hyperbola

• circle

If eccentricity is less than one, then the curve is

• parabola

• ellipse

• hyperbola

• circle

Of what quadrant is A, if sec A is positive and csc A is negative?

• IV

• I

• III

• II

If the general equation of the conic is Ax^2 + 2Bxy + Cy^2 + Ey + F = 0 and B^2 – 4AC > 0, then the conic is a/an

• circle

• parabola

• hyperbola

• ellipse

What type of conic has equation of Ax^2 + Cy^2 + Dx + Ey + F = 0?

• circle

• parabola

• ellipse

• hyperbola

4x^2 – 256 = 0 is the equation of a/an

• parabola

• parallel line

• circle

• ellipse

The graph of r = a + bcosθ is a

• lemniscate

• lituus

• limacon

• cardioid