100 Answered Questions for the topic Coordinate Geometry

01/06/16

Coordinate geometry - Midpoint of a line segment
- 5. A ship is 80 km west and 40 km north of a small island which is 20 km west and 20 km north of a port. A yacht is midway between the island and the ship. Give the position of the yacht a.... more
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Coordinate Geometry Math

01/05/16

Coordinate Geometry
9. Find x so that the points (x,x+1),(x+2,x+3) and (x+3,2x+4) form a right-angled triangle.10. The points (a,10) and (–2,6) are 5 units apart. Find the value(s) of aAnyone help with these questions... more
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Coordinate Geometry

10/02/15

Co-Ordinate Geometry
The equation of the line l is 5+y-2x=0. (a) Find the co-ordinates of the points where l cuts the axes.   (b) Find the slope of the line l   The line j goes through the point (11,6) and is... more
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Coordinate Geometry

09/09/15

[AB] and [DE] are diameters of the circle
circle has 5 points  A (5,3) B(-1,1) C is the midpoint  D(1,5) E has no coordinates questions: i) find the co-ordinates of C, the centre of the circle ii) find the coordinates of E, the end... more
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Coordinate Geometry

08/01/15

Coordinate Geometry
The points A,B,C,D have coordinates (3,-2), B(p,3), C(6,2), D(q,r) respectively.The figure ABCD is a rhombus.Find (a) the values of p,q,r (b) the area of the rhombus   (a)P=1/2 q=8.5 r=-3 (b)... more
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Coordinate Geometry

07/25/15

Coordinate Geometry
The equations of the sides AB, BC, CA of the triangle ABC are y=2x, y=3x, x+y=8 respectively. Find the equation of the line through C perpendicular to AB.This line meets the x-axis in P and the... more
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Coordinate Geometry

07/25/15

Coordinate Geometry
Three points have coordinates A(4,13) , B(9,3) , C(10,8). Find the equation of (a) the line AB (b) the line through C perpendicular to the line y-4x=5 (c) The line through C meets the line AB at... more
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Coordinate Geometry

07/25/15

Coordinate Geometry
The line through A(3,1) perpendicular to x-4y =8 meets the x-axis at P and the y-axis at Q.Calculate the ratio PA:PQ.   Ans:  1:12 (Show working please)
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Coordinate Geometry Squares Vertex

07/08/15

Coordiante Geometry
 Each side of a square is 3 cm long. One vertex of the square is at (6,4) on the square coordinate grid marked in centimeter units. What are the possible combinations of another vertex of the... more
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Coordinate Geometry

07/06/15

Coordinate Geometry
Two points have coordinates A(3,1) and B(-1,5).Calculate the coordinates of P if P is on the x-axis and is equidistant from A and from B.If the figure APBQ is a rhombus,find the coordinates of Q.
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Coordinate Geometry

07/06/15

Coordinate Geometry
Show that the equation of the perpendicular bisector of the points (t, t+1) and (3t, t+3) is y+tx=2t^2+t+2.If this perpendicular bisector passes through the point (5,2),calculate the values of t.
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Coordinate Geometry

07/04/15

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
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Coordinate Geometry

07/04/15

Coordinate Geometry
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.
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Coordinate Geometry

07/04/15

Coordinate Geometry
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
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Coordinate Geometry

07/02/15

Coordinate Geometry
The equations of two parallel lines are 2x+y-1=0 and 2x+y+11=0.Calculate the perpendicular distance between the lines
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05/19/15

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)    
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Coordinate Geometry Quadrilateral

04/30/15

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)?
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Coordinate Geometry Geometry Word Problems

04/03/15

Coordinate Question
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
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Coordinate Geometry Analytic Geometry Geometry Proofs

04/02/15

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
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Coordinate Geometry

02/18/15

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?
Please help!
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Coordinate Geometry

02/18/15

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
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Coordinate Geometry

02/18/15

A circle on the xy-plane has its center at (3, p) and touches the x-axis at exactly one point. If the area of the circle is 4\pi , which of the following could
I don't understand how to do this problem.
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Coordinate Geometry Point Slope Slope Intercept

12/08/14

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?
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Coordinate Geometry

11/26/14

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
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Coordinate Geometry Math Geometry Coordinates

08/16/14

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?
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