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Find the ratio in which the line segment joining the points -3, 10 and 6, -8 is divided by -1, 6. Find the ratio in which line segment joining A 1, -5 and B -4, 5 is divided by the x-axis. Also, find the coordinates of the point of division. If 1, 2 , 4, y , x, 6 and 3, 5 are the vertices of a parallelogram taken in order, find x and y. Find the coordinates of a point A, where AB is the diameter of a circle whose centre is 2, -3 and B is 1, 4. Find the coordinates of the points which divide the line segment joining A -2, 2 and B 2, 8 into four equal parts.
Find the area of a rhombus if its vertices are 3, 0 , 4, 5 , -1, 4 and -2, -1 taken in order. Solution: Ex 7. Join the Discussion Forum to discuss your doubts and respond the questions asked by your friends. Objectives of Coordinate Geometry To find the distance between two different points whose co-ordinates are given and finding the co-ordinates of a point, which divides the line segment joining two points in a given ratio internally.
To find the co-ordinates of the mid-point of the join of two points to get the co-ordinates of the centroid of a triangle with given vertices.
Important Results in Coordinate Geometry The co-ordinates of the origin are 0, 0 The y co-ordinate of every point on the x-axis is 0 and the x co-ordinate of every point on the y-axis is 0. If the distance between the points 4, k and 1, 0 is 5, then what can be the possible values of k?
The area of a triangle is 5 sq units. Two of its vertices are 2, 1 and 3, In Coordinate geometry, we study that the distance of a point from the y-axis is called its x-coordinate, or abscissa abscissa is a Latin word which means cut off and the distance of a point from the x-axis is called its y-coordinate, or ordinate ordinate is a Latin word which means keep it in order.
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