query: Find the coordinates of P and Q.
positive_passages.docid: 136159
positive_passages.text: A line is drawn through the point $A(1,2)$ to cut the line $2y=3x-5$ in $P$ and the line $x+y=12$ in $Q$. If $AQ=2AP$, find $P$ and $Q$.
negative_passages.docid: 71229
negative_passages.text: Intersection of two parabolae
negative_passages.docid: 118565
negative_passages.text: Find a function value given 2 points
negative_passages.docid: 79407
negative_passages.text: How to solve ~(P → Q) : P & ~Q by natural deduction?
negative_passages.docid: 64888
negative_passages.text: Converting x,y coordinates to longitude,latitude using QGIS
negative_passages.docid: 35236
negative_passages.text: Proof $p \vdash q \Rightarrow p$
negative_passages.docid: 115719
negative_passages.text: Find the possible values of |A + B + C |
negative_passages.docid: 28582
negative_passages.text: How to find points of tangency on an ellipse?
negative_passages.docid: 96691
negative_passages.text: Distance of point $P$ from an ellipse
negative_passages.docid: 39336
negative_passages.text: RSA find $q$ given only $e$ and $p$
negative_passages.docid: 131209
negative_passages.text: Finding point coordinates of a perpendicular
negative_passages.docid: 131881
negative_passages.text: Show that the roots of P' lie in the same half plane as the roots of P
negative_passages.docid: 20526
negative_passages.text: Show that $PF.PG=b^2$ in a hyperbola
negative_passages.docid: 92337
negative_passages.text: Points in rectangular coordinate system - specifying coordinates as function values
negative_passages.docid: 27609
negative_passages.text: Point on parabola which is at shortest distance?
negative_passages.docid: 145966
negative_passages.text: Find $P(A\ xor\ B\ |\ A\ \cup\ B)$
negative_passages.docid: 40343
negative_passages.text: Solutions of $p!q! = r!$