Coordinate geometry Definition and 57 Threads

The question is in the attached picture. i can't seem to find a relevant formula and when i do i can't get a suitable answer, if some one can help, i'll highly appreciate it. Thanks in advance.

Coordinate Geometry II HARD! 1a). TriangleABC has vertices A(4,6), B(-3,4) and C(-1,-3). Write down the three inequalities whose intersection is the interior of triangleABC. 1b). Prove that triangleABC is a right angled isosceles triangle. 2a). The lines L1 and L2 have the equations...

Hi i'm stuck on this question . please could someone guide me in the right direction ? A = (1, - 2,4) and B = (8,12, - 3). Find the co-ordinates of the point which divides AB in the ratio 2 : 5. thanx roger

Hi everyone. This is a question that was attempted in class but no on (including our teacher) could solve in the time we had left. It's not actually homework, but it's really getting on my nerves! The quadrilateral ABCD, where A is (4,5) and C is (3, -2), is a square. Find the coordinates of...

I'm just introducing myself to coordinate geometry in the xy plane of cirlces. Here's a question I'm having trouble with: Q11: The line with equation y=mx is a tangent to the circle with equation x^2 + y^2 - 6x - 6y + 17 = 0. Find the possible values of m. At first i thought i'd try...

just want to ask a simple question a quadrilateral has the vertices A ( 1,4 ), B (9,5 ) , C ( 5,-2) and D (-3,-3). show that the quadrilateral is a rhombus what i do is find gradient AB, CD, AD and BC. and then state which and which have the same gradient... and hence the opposite sides...

the vertices of a triangle are 0, and the points A (a, 0) and B (0,a) where a>0. the point P moves in the plane OAB such that OP square + AP square + BP square = k square, where k is a positive constant. show that k mst be bigger than (2/3)a X square root of 3 i tried. but can't even know...