Homework problem (tangents equation)

[Penultimate]

Could you help me solve this one :


Write the the equations of the tangents of the parabole x^2=2y-4 that go through the origin of coordinates. Whats the surface of the figure formed by the parabole and the tangents.

I am not sure i have translated thi one in an understanding way :(.

 

[tiny-tim]

Hi Penultimate!

(try using the X² tag just above the Reply box )

Write the the equations of the tangents of the parabola x²=2y-4 that go through the origin of coordinates.

Hint: the line from the origin to a general point P must have the same slope (gradient) as the tangent at P.

Whats the surface of the figure formed by the parabola and the tangents.

mmm … I don't understand that …

do you mean what's the area?