Find the intersection of the hyperboloid x^2 + y^2 - 3z^2 = 1 with its tangent plane at the point (2,0,1). Equation of tangent plane: -2x + 3z = -1 Any clues? Thanks.
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Originally Posted by mushroom Find the intersection of the hyperboloid x^2 + y^2 - 3z^2 = 1 with its tangent plane at the point (2,0,1). Equation of tangent plane: -2x + 3z = -1 Any clues? Thanks. If you solve the equation of the tangent plane for z you get Now if you sub this into the equation for the hyperboloid and complete the square with respect to the x's what do you get?
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