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Find the locus of a point, such that the...

Find the locus of a point, such that the join of `(-5,1)a n d(3,2)` subtends a right angle at the moving point.

Text Solution

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`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`
Equation of AB
`y-1=(2-1)/(3+5)(x+5)`
`y-1=1/8(x+5)`
`m=1/8`
Slope of PD=-8
at point(h,k)
`y-k=-8(x-h)`.
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Knowledge Check

  • The locus of the midpoint of chord of the circle x^(2)+y^(2)=1 which subtends a right angle at the origin is

    A
    `x^(2)+y^(2)=1/4`
    B
    `x^(2)+y^(2)=1/2`
    C
    `xy=0`
    D
    `x^(2)-y^(2)=0`

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