query: Finding directrix and focus of oblique parabola given tangents $y=x$ and $y=-x$ at $(3,3)$ and $(1,-1)$ respectively.
positive_passages.docid: 17695
positive_passages.text: Find a parabola touches the line $y=x$ and $y=-x$ at $A(3,3)$ and $B(1,-1)$
negative_passages.docid: 35438
negative_passages.text: Ordering $n$ points in $\Bbb{R}^d$ so that every three consecutive points determine an acute angle
negative_passages.docid: 73233
negative_passages.text: Latus rectum of a parametric parabola
negative_passages.docid: 95538
negative_passages.text: Polynomial passing through two points with specific tangents
negative_passages.docid: 132981
negative_passages.text: Triangle tangent to 3 Parabolas, finding the common area
negative_passages.docid: 39906
negative_passages.text: Equation of the locus of the foot of perpendicular from any focus upon any tangent to the ellipse ${x^2\over a^2}+{y^2\over b^2}=1$
negative_passages.docid: 112027
negative_passages.text: How do you find the self-intersection points of a single parametric trigonometric function?
negative_passages.docid: 73218
negative_passages.text: How to find centre,vertics,foci,focal radii,letus rectum... when exists of a general quadratic equation in x and y
negative_passages.docid: 64363
negative_passages.text: Calculate and plot the tangent hyperplane to a function of three variables
negative_passages.docid: 90982
negative_passages.text: How to find the determinant of this $3 \times 3$ Hankel matrix?
negative_passages.docid: 56319
negative_passages.text: Intuitive way to understand Polar Coordinate Gradient
negative_passages.docid: 115737
negative_passages.text: Tangent and Normal lines that pass through the origin
negative_passages.docid: 82056
negative_passages.text: Quadrilateral problem with midpoints of diagonals
negative_passages.docid: 132070
negative_passages.text: A challenge on the parabola
negative_passages.docid: 121084
negative_passages.text: Right triangles and tangent lines
negative_passages.docid: 94638
negative_passages.text: Solving for three unknowns given three linear equations
negative_passages.docid: 105280
negative_passages.text: How to find the equation of a parabola given the tangent equations to two points?