I don't get the question, please helpTwo curves are orthogonal at a point of intersection if their tangents at that point cross at right angles. Show that the curves 2x^2+3y^2=5 and y^2=x^3 are orthogonal at (1,1) and (1,-1).
I don't get the question, please helpTwo curves are orthogonal at a point of intersection if their tangents at that point cross at right angles. Show that the curves 2x^2+3y^2=5 and y^2=x^3 are orthogonal at (1,1) and (1,-1).
Orthogonal means "crossing a right angles."
If the tangents are perpendicular to this crosspoint, then there is an orthogonal curve.
So they want you to prove that the curves are orthogonal, or horizontal tangents at the intersection points.
If you're still stuck, figure out what the slope of a horizontal tangent is.