Coordinate Geometry

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Slide 1 : COORDINATE GEOMETRY

Slide 2 :

Slide 3 :

Slide 4 : The coordinates of B The coordinates of M The coordinates of L The coordinates of S

Slide 5 :

Slide 6 : Write the coordinates of all points

Locate the points (5, 0), (0, 5), (2, 5), (5, 2), (–3, 5), (–3, –5), (5, –3) and(6, 1) in the Cartesian plane. : Locate the points (5, 0), (0, 5), (2, 5), (5, 2), (–3, 5), (–3, –5), (5, –3) and(6, 1) in the Cartesian plane.

Slide 8 :

Slide 9 : The distance between two point P(x1 ,y1) and Q(x2 ,y2) is Find the distance between the following pairs of points (i) (2, 3), (4, 1) (ii) (– 5, 7), (– 1, 3)

Slide 10 : 1) Show that the points (1, 7), (4, 2), (–1, –1) and (– 4, 4) are the vertices of a square.

Slide 11 : Section or Ratio Definition:     Ratio formula or section formula is used to find the coordinates of a point P which divides the segment joining the points A and B internally or externally in the ratio m : n.

Slide 12 : 1)Find the coordinates of the point which divides the line joining the points (2, 3), (5, 6) internally in the ratio 2:1.

Slide 13 : 2)Find the coordinates of the point which divides the line segment joining the points (5,3)and(9,7) in the ratio 3:2

Slide 14 : 3)the coordinates of the points A and B are(1,2) and (2,3) respectively. Find the coordinates of the point P in AB so that AP:PB =4:3

Slide 15 : 4)If A and B are (1,4) and (5,2) respectively, find the coordinates of thre point P in AB so that4AP=3PB

Slide 16 : 5)Find the ratio in which P(1,4) devides the line joining A(--1,6) and B(2,3)

Slide 17 : 6)In what ratio does the point (3,2) divide the line segment joining the points (5,--3) and(--9,4)?

Slide 18 : 7)In what ratio is the line segment joining the points (-2,-3) and (1,6) divided by the x axis

Slide 19 : 8)The line joining A(3,2)and B(-4,5) meets y-axis at point P. In what ratio does P divides the line segment AB

Slide 20 : 9)Find the coordinates of the points of trisection or the line segments joining the points P(--3,9) and (6,3)?

Slide 21 :

Slide 22 : Find the coordinates of the point which divides the line joining the points (2, 1), (3, 5) externally in the ratio 2:5.

Slide 23 : Mid Point Formula where               (x1, y1)   (x2, y2) be the end points of a line segment.

Slide 24 : 1)Find the coordinates of the midpoint of the line joining (-1, -3), (-5, -7). 2)Find the coordinates of the midpoint of the line joining the points(22,20) and (0,16)

Slide 25 : 3) Find the distance of the point (1,2) from the midpoint of the line joining the points (6,8)and(2,4)

Slide 26 : Find the length of the median AD,BE and CF A(1,-1) B(0,4) C(-5,3) D E F

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