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Find a relation between x and y such that the point x, y is equidistant from the points 3, 6 and -3, 4. The Perpendicular distance of x a point from the y-axis is called its x-coordinate or abscissa. The perpendicular distance y 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 Class 10 Maths Ch 7 Ex 7.1 China 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 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.
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. RD Sharma Class 12 Solutions.
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