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At what point should the origin be shift...

At what point should the origin be shifted if the coordinates of a point `(4,5)` become `(-3,9)?`

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AI Generated Solution

To solve the problem of determining the point to which the origin should be shifted so that the coordinates of the point (4, 5) become (-3, 9), we can follow these steps: ### Step-by-Step Solution: 1. **Define the Shifted Origin**: Let the new origin be at the point (H, K). This means that when we shift the origin, the coordinates of any point (x, y) will change to (X, Y), where: \[ X = x - H ...
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At which point should the origin be shifted so that co-ordinates of point (2,5) become (1,-4) ?

At which point the origin should be shifted such that the new co-ordinates of the (-2,3) becomes (2,6) ?

Knowledge Check

  • The coordinates of a point are (1,-3,3), the point lies in

    A
    (a)II octant
    B
    (b)VIII octant
    C
    (c)I octant
    D
    (d)IV octant
  • The length of the segment joining the points with coordinates (-2,4) and (3,-5) is

    A
    2.8
    B
    3.7
    C
    10
    D
    10.3
  • Similar Questions

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    If the origin is shifted to (5,-5) , then the new co-ordinates of (4,6) will be

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    If the origin is shifted (1, 2, -3) without changing the directions of the axis, then find the new coordinates of the point (0, 4, 5) with respect to new frame.

    When the origin is shifted to (4,-5) by the translation of axes, find the coordinates of the point (4,-5) with reference to new axes.

    Find the distance of that point from the origin which divides the line segment joining the points (5, -4) and (3, -2) in the ratio 4:3 .

    When the origin is shifted to (4,-5) by the translation of axes, find the coordinates of the point (0,3) with reference to the new axes.