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A ( 2, 3 ) , B ( - 1, 1 ) are two ...

` A ( 2, 3 ) , B ( - 1, 1 ) ` are two points . If P is a point such that ` angle APB = 90 ^@ `, then the locus of P is

A

` x ^2 + y ^ 2 - x - 4y + 1 = 0 `

B

` x ^ 2 + y ^ 2 + x + 4y - 1 = 0 `

C

` x ^ 2 + y ^ 2 - x + 4 y - 1 = 0 `

D

` x ^ 2 + y ^ 2 + x - 4 y + 1 = 0 `

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A
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Knowledge Check

  • A(2, 3), B(-1, 1) are two points if P is a point such that angleAPB=90^(@) then the locus of P is

    A
    `x^(2)+y^(2)-x-4y+1=0`
    B
    `x^(2)+y^(2)+x+4y-1=0`
    C
    `x^(2)+y^(2)-x+4y-1=0`
    D
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  • A ( - 9, 0) ,B ( - 1, 0) are two points. If P is a point such that PA : PB = 3 : 1 , then the locus of P is

    A
    ` x ^ 2 + y ^ 2 = 9 `
    B
    ` x ^ 2 + y ^ 2 + 9 = 0 `
    C
    ` x ^ 2 - y ^ 2 = 9 `
    D
    ` x ^ 2 - y ^ 2 + 9 = 0`

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