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प्रश्न
Find the distance between the following pair of points:
(-6, 7) and (-1, -5)
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उत्तर
The distance d between two points (x1, y1) and (x2, y2) is given by the formula.
`d = sqrt((x_1 - x_2)^2 + (y_1 - y_2)^2)`
The two given points are (-6, 7) and (-1, -5)
The distance between these two points is
`d = sqrt((-6 + 1)^2 + (7 +5)^2)`
`= sqrt((-5)^2 + (12)^2)`
`= sqrt(25 + 144)`
`= sqrt(169)`
= d = 13
Hence the distance is 13 units
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संबंधित प्रश्न
Prove that the points A(1, 7), B (4, 2), C(−1, −1) D (−4, 4) are the vertices of a square.
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Find the value of y for which the distance between the points A (3, −1) and B (11, y) is 10 units.
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Read the following passage:
|
Alia and Shagun are friends living on the same street in Patel Nagar. Shagun's house is at the intersection of one street with another street on which there is a library. They both study in the same school and that is not far from Shagun's house. Suppose the school is situated at the point O, i.e., the origin, Alia's house is at A. Shagun's house is at B and library is at C. |
Based on the above information, answer the following questions.

- How far is Alia's house from Shagun's house?
- How far is the library from Shagun's house?
- 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.
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