Recent questions tagged cartesian-coordinates

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The vertices of a triangle are $(0,0), (4,0)$ and $(3,9).$ The area of the circle passing through these three points is $\frac{14 \pi}{3}$$\frac{12 \pi}{5}$$\frac{123 \pi... 0 answers 2 The points$(2,1)$and$( – 3, – 4)$are opposite vertices of a parallelogram. If the other two vertices lie on the line$x + 9y + c = 0,$then$\text{c}$is$1214$... 1 answer 3 The points$\left ( 2,5 \right )$and$\left ( 6,3 \right )$are two end points of a diagonal of a rectangle. If the other diagonal has the equation$y=3x+c$, then$c$is... 1 answer 4 The points of intersection of three lines$2\text{X} + 3\text{Y} – 5 = 0, 5\text{X} – 7\text{Y} + 2 = 0$and$9\text{X} – 5\text{Y} – 4= 0$form a triangleare on l... 1 answer 5 With rectangular axes of coordinates, the number of paths from$(1,1)$to$(8,10)$via$(4,6)$, where each step from any point$(x,y)$is either to$(x,y+1)$or to$(x+1,...
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Let T be the triangle formed by the straight line $3x+5y-45=0$ and T the coordinate axes. Let the circumcircle of T have radius of length L, measured in the same unit as ...
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The line $\text{L}$ passing through the points $(1,1)$ and $(2,0)$ meets the $y$-axis at $\text{A}$. The line through the point $\left(\dfrac{1}{2},0 \right)$ and perpend...
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In the figure given, $\text{OABC}$ is a parallelogram. The area of the parallelogram is $21$ sq units and the point $\text{C}$ lies on the line $x= 3$. Find the coordinat...
There are three coplanar parallel lines. If any $p$ points are taken on each of the lines, then find the maximum number of triangles with the vertices of these points.$p^... 1 answer 10 Consider a triangle drawn on the$\text{X-Y}$plane with its three vertices at$(41, 0), (0, 41),$and$(0, 0)$each vertex being represented by its$\text{(X, Y)}\$ coord...