query: Condition on a & b so that the two tangents drawn to the parabola $y^2=4ax$ from a point are normals to the parabola $x^2=4by$
positive_passages.docid: 143259
positive_passages.text: Find the condition on $a$ and $b$ so that the two tangents drawn to the parabola $y^2=4ax$ from a point are normals to the parabola $x^2=4by$
negative_passages.docid: 22017
negative_passages.text: Parametric equations for the plane through origin parallel to two vectors
negative_passages.docid: 128721
negative_passages.text: Finding the equation of an ellipse tangent to two lines
negative_passages.docid: 78753
negative_passages.text: $f(x,y)=4x^3y^2$ Dealing with Directional Derivatives and Vectors
negative_passages.docid: 147206
negative_passages.text: Find a unit tangent vector to a curve that is an intersection of two surfaces.
negative_passages.docid: 136204
negative_passages.text: Intersection of a function having increasing derivative with tangent line
negative_passages.docid: 90295
negative_passages.text: Taking the second derivative of a parametric curve
negative_passages.docid: 59082
negative_passages.text: Formula for curve parallel to a parabola
negative_passages.docid: 102487
negative_passages.text: Find a vector equation for the line through the point $(a,b,c)$ which is normal to the plane $\cdots$
negative_passages.docid: 67083
negative_passages.text: Find the area of the region bounded by the parabola $y = 2x^2$, the tangent line to this parabola at $(3, 18)$, and the $x$-axis.
negative_passages.docid: 64497
negative_passages.text: prove that $\tan(\alpha+\beta) = 2ac/(a^2-c^2)$
negative_passages.docid: 20526
negative_passages.text: Show that $PF.PG=b^2$ in a hyperbola
negative_passages.docid: 4704
negative_passages.text: How to find an ellipse , given 2 passing points and the tangents at them?
negative_passages.docid: 39894
negative_passages.text: Graphing y=x^2 and y=x
negative_passages.docid: 71482
negative_passages.text: Solve $p_4(x) = x^4 −(2m + 4)x^2 + (m−2)^2 $such that $p_4$ is a product of two non-constant integer-coeficient polynomials
negative_passages.docid: 26010
negative_passages.text: Parabola in parametric form
negative_passages.docid: 115808
negative_passages.text: The normal equation of the plane that contains the line $(1,1,1) + t(-2,0,3)$