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If the point P(x, y) be equidistant from...

If the point P(x, y) be equidistant from the points A(a + b, b - a) and B(a-b,a+b) , then prove that `bx=ay`

A

`ax=by`

B

`bx=qay` and P can (a,b)

C

`x^(2)-y^(2)=2(ax+by)`

D

None of the above

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If the point P(x, y) be equidistant from the points A(a+b, a-b) and B(a-b, a+b) then

    A
    ax = by
    B
    bx = ay
    C
    `x^(2)-y^(2)=2(ax+by)`
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    A
    `ap=bq`
    B
    `aq=bp`
    C
    `p^(2)-q^(2)=2(ap+bp)`
    D
    `P can be (a,b)`

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