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The point P is equidistant from A(1,3), ...

The point `P` is equidistant from `A(1,3), B(-3,5)` and `C(5,-1),` then `PA` is equal to

A

5

B

`5sqrt(5)`

C

25

D

`5sqrt(10)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Find the equation of the set of the point P such that its distances from the points A(3,4,-5) and B(-2,1,4) are equal

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Knowledge Check

  • The point which is equidistant from A (3, 4, -1) and B (1, - 2,5) on y-axis is

    A
    (0, 1, 0)
    B
    (0,1/3,0)
    C
    (0, - 1/3,0)
    D
    (0, - 5/3,0)

  • The point which is equidistant from A (3,4,-1) and B (1,-2,5) on y-axis is

    A
    `(0,1,0)`
    B
    `(1, 1//3, 0)`
    C
    `(0, -1//3, 0)`
    D
    `(0, -5//3 , 0)`

  • The point on Y- axis which is equidistant from (6, -1) and (2, 3) is

    A
    `(0, -1)`
    B
    `(0, 1)`
    C
    `(0, -3)`
    D
    `(0, 3)`

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