Coordinate Geometry Coordinate geometry is the study of the relationships between points on the Cartesian plane What we will explore in this tutorial (a) Explore gradient I. Identify the gradient of a straight line II. Calculate the gradient of a straight line III. Determine the gradient of straight lines that are parallel to or perpendicular to a
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Preview and Download !Solomon Press 11 The point with coordinates (4p, p2) lies on the line with equation 2x − 4y + 5 = 0. Find the two possible values of the constant p. 12 Find the coordinates of the points at which each straight line crosses the coordinate axes. a y = 2x + 5 b x − 3y + 6 = 0 c 2x + 4y − 3 = 0 d 5x − 3y = 10 13 The line l has the equation 5x − 18y − 30 = 0. a Find the coordinates of ...
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Preview and Download !ondly, in each kind of geometry there are normal form theorems which can be used to simplify coordinate proofs. For example, in a ne geometry every tri-angle is equivalent to the triangle whose vertices are A0 = (0;0), B0 = (1;0), C0 = (0;1) (see Theorem 3.13) and in Euclidean geometry every triangle is
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Preview and Download !Solutions for the assessment 4. Coordinate Geometry 1) (1, -2) 2) (-0.5, 1.5) 3) The centre of the circle is (4, 8) 4) The centre of the circle is (4, 1) and the line does not pass through the centre. 5) (-4,1) 6) The equation of l is y = 2 x − 14 7) The equation of l is 9 x + 2 y + 67 = 0 8) The equation of l is y = x + 5
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Preview and Download !Coordinate Geometry The equation of a given line is given by 2x + 3y = 12 Given that the equations of two lines L and L are : L : 2x + y = 8 and L : 6y - mx = 3 1. The gradient of the line is = 2. The intercept on the x-axis is = 3. The intercept on the y-axis is = 4. Find the area of the triangle OAB, where O is the origin and A
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Preview and Download !3. Figure 1 The points A and B have coordinates (6, 7) and (8, 2) respectively. The line l passes through the point A and is perpendicular to the line AB, as shown in Figure 1. (a) Find an equation for l in the form ax + by + c = 0, where a, b and c are integers.(4) Given that l intersects the y-axis at the point C, find (b) the coordinates of C,(2) (c) the area of ΔOCB, where O is the origin.
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Preview and Download !Kuta Software - Infinite Geometry Name_____ Coordinate Geometry and the Centroid Date_____ Period____ Find coordinates of the centroid of each triangle. ... Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com. Title:
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Preview and Download !Coordinate Geometry The equation of a given line is given by 2x + 3y = 12 Given that the equations of two lines L and L are : L : 2x + y = 8 and L : 6y - mx = 3 1. The gradient of the line is = 2. The intercept on the x-axis is = 3. The intercept on the y-axis is = 4. Find the area of the triangle OAB, where O is the origin and A
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Preview and Download !Solomon Press C2 COORDINATE GEOMETRY Worksheet B 1 The circle C has centre (3, −2) and radius 5. a Write down an equation of C in cartesian form. The line y = 2x − 3 intersects C at the points A and B. b Show that AB = 45. 2 The line AB is a diameter of circle C. Given that A has coordinates (−5, 6) and B has coordinates (3, 8), find a the coordinates of the centre of C,
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Preview and Download !Kuta Software - Infinite Geometry Name_____ The Distance Formula Date_____ Period____ Find the distance between each pair of points. Rou nd your answer to the nearest tenth, if necessary. 1) x y −4 −224 −4 −2 2 4 2) x y −4 −224 ... Microsoft Word - Coordinate Study Guide.docx
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