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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, Ncert Solutions Class 10th Maths Chapter 8 Qul 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 Ncert Solutions Of Class 10th Maths Chapter 9 Queue -3, 4. The Perpendicular distance of x a point from the Ncert Solutions Of Maths Class 10th Chapter 3 Number 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 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. RD Sharma Class 12 Solutions. Watch Youtube Videos.
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