A polar equation of a conic is given. r = 19/ 4 + 3 cos(𝜃)

Question

Vertex's

Directrix

Center

Length of major axis

length of minor axis

Answer 1

4r + 3r cos θ = 19

4√(x² + y²) + 3x = 19

4√(x² + y²) = -3x + 19

16(x² + y²) = 9x² - 114x + 361

7x² + 114x + 16y² = 361