Write the standard form of the equation of the circle that passes through the point (2,5) with its center in the origin

Write an equation of the line tangent to the circle x^2+y^2=20 at (2,4)

Write an Equation of the ellipse with a vertex at (4,0_ a co vertex at (0,3) and center at (0,0)

Find the vertices and the foci of the hyperbola

(x^2/16)-(y^2/25)=1

PLEASE ANSWER AS MUCH AS YOU CAN.

## Answers (1)

1) x^2+y^2 = 29

2) y = -0.5x+5

3) [(x^2)/16] + [(y^2)/9] = 1

4) vertices: (4,0), (-4,0)

foci (sqrt(41),0), (-sqrt(41), 0)