Distance Formula

Find the values of x, y if the distances of the point (x, y) from (-3, 0)  as well as from (3, 0) are 4.

Read the following passage:

Based on the above information, answer the following questions.

1. How far is Alia's house from Shagun's house?
2. How far is the library from Shagun's house?
3. Show that for Shagun, school is farther compared to Alia's house and library.
   OR
   Show that Alia’s house, shagun’s house and library for an isosceles right triangle.

Find the distance between the origin and the point:
(-8, 6) 

The coordinates of the point which is equidistant from the three vertices of the ΔAOB as shown in the figure is ______.

Find the distance between the following pairs of points:
`(3/5,2) and (-(1)/(5),1(2)/(5))`

Prove taht the points (-2 , 1) , (-1 , 4) and (0 , 3) are the vertices of a right - angled triangle.

Name the type of quadrilateral formed, if any, by the following point, and give reasons for your answer:

 (−3, 5), (3, 1), (0, 3), (−1, −4)

Point P(0, 2) is the point of intersection of y-axis and perpendicular bisector of line segment joining the points A(–1, 1) and B(3, 3).