88 Answered Questions for the topic Coordinate Geometry
Given the points O(0,0), A(-1.1) and B(1/λ,1/λ^2 ),where λ is greater than zero,show that the area of Δ AOB is (1+λ)/(2λ^2 ) sq units.Find AB in terms of λ.Show that the height from O to the line... more
The line y=2x+7 is parallel to the line y=2x-3.The line y=-0.5x+7 is perpendicular to the line y=2x-3.Calculate the perpendicular distance between the pair of parallel lines.
The line y= 2x+3 intersects the y-axis at A. The points B and C on this line are such that AB=BC.The line through B perpendicular to AC passes through the point D (-1,6).Calculate (a)the... more
The equations of two parallel lines are 2x+y-1=0 and 2x+y+11=0.Calculate the perpendicular distance between the lines
Please help with coordinate axes rotation!
The exact question was: "Rotate the coordinate axes to eliminate the xy term. 2x2 + 2(sqrt3)xy + 4y2 - 8 = 0" (sqrt= square root)
Coordinate Geometry Quadrilateral
What is the area of a quadrilateral whose vertices are given?
What is the area in square units, of a quadrilateral whose vertices are (5,3), (6,-4), (-3,-2), (-4,7)?
Coordinate Geometry Geometry Word Problems
3. The pirate Dana the Bold has buried her treasure at a distance of 5 paces (1 pace = 1unit on your coordinate system) from a palm tree located at (−3, 4) and √5 paces from a coconut tree located... more
Determining the 3rd vertex of an Equilateral and Right angled isoceles triangle.
I am really having problems solving the following problems:If (x1,y1) and (x2,y2) are the coordinates of the two vertices on the hypotenuse of a right angled isosceles triangle then the coordinates... more
In the xy-coordinate plane, the distance between point A (7,9) and point B (4,y) is 5. What is one possible value of y?
What is the slope of the line that passes through (3,2) and is perpendicular to the line that passes through (-2,3) and (2,-3)?
I just want someone to check my answer and if I get it wrong to show me how to do it! My answer is 2/3
How is the final answer resulting from a point-slope formula different than the one resulting from the slope-intercept formula?
Do you leave the point-slope form as it is or do you need to simplify it to match the slope-intercept form?
Given A(5,2) B(-1,4) C(6,-5). Write the equation of the line which passes through C and is parallel to line AB.
How do I these kind of problems
In the xy-coordinate plane, point P has a coordinates (6,2) Point Q has coordinate (18,8).
If Point x is on segment PQ so that the length of segment PX is twice the length of segment XQ what are the coordinates of point x?