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The length of a line segment is of 10 un...

The length of a line segment is of 10 units and the coordinates of one end-point are `(2,-3)dot` If the abscissa of the other end is 10, find the ordinate of the other end.

Text Solution

Verified by Experts

Given, Point `=(2,−3)`
and let other point `=(10,b)`
by distance formula,
`sqrt((10−2)^2+(b+3)^2)​=10 `
`=>sqrt(8^2+(b^2+9+6b))​=10 `
...
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Knowledge Check

  • The mid-point of a line is (-4,-2) and one end of the line is (-6,4) . The co-ordinates of the other end are

    A
    `(2,-8)`
    B
    `(-2,8)`
    C
    `(-2,-8)`
    D
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    A
    `((-1)/(2), (-3)/(2))`
    B
    `(-7, 9)`
    C
    `(7, 9)`
    D
    `((1)/(2), (3)/(2))`

  • If the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its centre are (-2,5), then the coordinates of the other end of the diameter are

    A
    (-6, 7)
    B
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    C
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    D
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