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Let A and B be two points. What is the l...

Let A and B be two points. What is the locus of the point P such that angle `APB=90^@`

A

the line AB itself

B

the point P itself

C

the circumference of the circle with AB as diameter

D

the line perpendicular to AB and bisecting AB

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Knowledge Check

  • A and B are two fixed points. The locus of a point P such that angleAPB is a right angle, is:

    A
    `x^(2)+y^(2)=a^(2)`
    B
    `x^(2)-y^(2)=a^(2)`
    C
    `2x^(2)+y^(2)=a^(2)`
    D
    None of these

  • Let O(0, 0) and (0, 1) be two fixed points, then the locus of a point P such that the perimeter of DeltaAOP is 4, is

    A
    `8x^(2)-9y^(2)+9y=18`
    B
    `9x^(2)-8y^(2)+8y=16`
    C
    `9x^(2)+8y^(2)-8y=16`
    D
    `8x^(2)+9y^(2)-9y=18`

  • Let A=(4, 0), B=(0, 12) be two points in the plane. The locus of a point C such that the area of triangle ABC is 18 sq. units is -

    A
    `(y+3x+12)^(2)=81`
    B
    `(y+3x+81)^(2)=12`
    C
    `(y+3x-12)^(2)=81`
    D
    `(y+3x-81)^(2)=12`

    • Similar Questions

    Explore conceptually related problems

    Let O(0,0) and A(0,1) be two fixed points.Then the locus of a point P such that the perimeter of Delta AOP is 4, is

    Let A(0,-4) and B(0,4) be two fixed points. Find the locus of a point P which moves so that PA+PB=12 .

    If A(-1,1) and B(2,3) are two fixed points, find the locus of a point P so that the area of PAB=8sq units.

    If A(1, 1) and B (-2, 3) are two fixed points, find the locus of a point P so that area of DeltaPAB is 9 units.

    Let A(-2,2) and B(2,-2) be two points. P is a variable point such that area of DeltaPAB is 8 then locus of P is

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