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Coordinate Geometry, also called Cartesian Geometry, has lots of applications in the real world. To locate the position of a point on a plane, we require a pair of coordinate axes. The distance of a point from the y-axis is called its x-coordinate, or abscissa. The coordinates of a point on the x-axis are of the form x, 0 , and of a point on the y-axis are of the form 0, y. Coordinate geometry is an incredibly important technique for mathematical problem-solving for Class 10 Ncert Maths Formula Pdf Linux many reasons. If there was no coordinate geometry, only mathematical shapes in their simplest forms could be studied.
By simply attaching a coordinate system to the plane or mathematical space of another dimension , we gain an entirely new ability to think about the position. From the Class 10 board point of view, the entire function chapter is extremely important. The questions are based on concepts like the distance between the two points whose coordinates are given, to find the area of the triangle formed by three given points, how to find the coordinates of the point which divides a line segment joining two given points in a given ratio.
The perpendicular distance y Ncert Class 10 Maths Ch 10 Pdf Zip of a point from the x-axis is called its y-coordinate or ordinate. The x and y taken together in order is called coordinte of point denoted by x, y.
The coordinate of the points on x-axis are of the form x, 0 and the points on the y-axis are of the form 0, y. Coordinate of origin is 0, 0. The sign of x and y-coordinates in each of the quadrant is shown below:. The distance between any two points P x 1 , y 1 and Q x 2 , y 2 in the plane is given by, Also the distance of the point P x 1 , y 1 from the origin is. The coordinates of the point P x, y which divides the line segment joining the points A x 1 , y Class 10 Maths Ch 5 Extra Questions With Pdf 1 and B x 2 , y 2 internally in the ratio m 1 : m 2 i.
The coordinates of the mid point P of the line segment joining the points A x 1 , y 1 and B x 2 , y 2 is. Find the distance between the following pairs of points: i 2, 3 , 4, 1 ii -5, 7 , -1, 3 iii a, b , -a, -b Solution: Ex 7. Solution: Ex 7. The sign of x and y-coordinates in each of the quadrant is shown below: Distance Formula The distance between any two points P x 1 , y 1 and Q x 2 , y 2 in the plane is given by, Also the distance of the point P x 1 , y 1 from the origin is Section Formula The coordinates of the point P x, y which divides the line segment joining the points A x 1 , y 1 and B x 2 , y 2 internally in the ratio m 1 : m 2 i.
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