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Find a point on the yaxis which is equid...

Find a point on the yaxis which is equidistant from the points `A(6,\ 5)\ a n d\ B(4,\ 3)dot`

Text Solution

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Let point P(0,y) is on the y-axis, then `PA=PB`
or `PA ^2 =PB^2`
`=>(6−0)^2+(5−y)^2 =(−4−0)^2 +(3−y)^2`
`=>36+25−10y+y^2 ...
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Knowledge Check

  • The point on the x-axis which is equidistant from the points (5, 4) and (-2, 3) is

    A
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    B
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    C
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    D
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