query: A parabola with focus $(-1,-1)$ is tangent to $y=3x-8$ at $(7,13)$. Find the latus rectum.
positive_passages.docid: 139314
positive_passages.text: Find the latus rectum of the Parabola
negative_passages.docid: 72157
negative_passages.text: Elementary proof of tangent half angle formula
negative_passages.docid: 120410
negative_passages.text: Three normals of a hyperbola passing through the same point on the curve
negative_passages.docid: 156948
negative_passages.text: Equation of a rectangle
negative_passages.docid: 128535
negative_passages.text: Find the equation of the tangent line to $y=x^4-4x^3-5x+7$
negative_passages.docid: 105280
negative_passages.text: How to find the equation of a parabola given the tangent equations to two points?
negative_passages.docid: 144841
negative_passages.text: Find general solution $y''y^3=1$
negative_passages.docid: 131394
negative_passages.text: Volume generated by revolving the region in the first quadrant bounded by the parabolas $y^2=x$, $y^2=8x$, $x^2=y$, $x^2=8y$ about the $x$-axis.
negative_passages.docid: 50982
negative_passages.text: Is $\sqrt{x/a}+\sqrt{y/b}=1$ the equation of a parabola tangent to the coordinate axes?
negative_passages.docid: 125171
negative_passages.text: Help with this trigonometry problem?
negative_passages.docid: 57473
negative_passages.text: how to find a point in the path of a line
negative_passages.docid: 154829
negative_passages.text: How to solve $y'' + y = y^{-3}$
negative_passages.docid: 61641
negative_passages.text: Equations of lines tangent to an ellipse
negative_passages.docid: 95633
negative_passages.text: Help with this trigonometry problem
negative_passages.docid: 118723
negative_passages.text: Finding the tangents common to two rotated ellipses?
negative_passages.docid: 132981
negative_passages.text: Triangle tangent to 3 Parabolas, finding the common area
negative_passages.docid: 7158
negative_passages.text: Using implicit differentiation to find a line that is tangent to a curve at a point