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प्रश्न
If the distance between points (x, 0) and (0, 3) is 5, what are the values of x?
उत्तर
We have to find the unknown x using the distance between A( x , 0) and B ( 0 , 3 ) which is 5.In general, the distance between A`(x_1 , x_2 )` and B `(x_2 , y_2) ` is given by,
`AB = sqrt( ( x_2 - x_1 )^2 + (y_2 - y_1)^2)`
So,
`5 = sqrt ( ( x - 0)^2 + ( 0 -3 )^2 ) `
Squaring both the sides we get,
`x^2 - 16 = 0`
So,
`x = +- 4`
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संबंधित प्रश्न
(Street Plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.
All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines.
There are many cross- streets in your model. A particular cross-street is made by two streets, one running in the North - South direction and another in the East - West direction. Each cross street is referred to in the following manner : If the 2nd street running in the North - South direction and 5th in the East - West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:
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A(-1,-2) B(1, 0), C (-1, 2), D(-3, 0)
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Find the points of trisection of the line segment joining the points:
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In what ratio is the line segment joining (-3, -1) and (-8, -9) divided at the point (-5, -21/5)?
Determine the ratio in which the straight line x - y - 2 = 0 divides the line segment
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