Exercise 7. 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:. Find the distance between the points 0, 0 and 36, Determine if the points 1, 5 , 2, 3 and -2, are collinear.
Check whether 5, -2 , 6, 4 and 7, -2 are the vertices of an isosceles triangle. In a classroom, 4 friends are seated at the points A, B, C and D as shown in the given figure. Using distance formula, find which of them is correct. Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer. Find the point on the x-axis which is equidistant from 2, -5 and -2, 9. Find the values of y for which the distance between the points P 2, -3 and Q 10, y is 10 units.
If Q 0, 1 is equidistant from P 5, -3 , and R x, 6 , find the values of x. Also, find the distances QR and PR. 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 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 Ncert Solutions Class 10 Maths Ch 6 Ex 6.4 Network 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.
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