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A point moves in the xy - plane such tha...

A point moves in the xy - plane such that th sum of its, distances from two mutually perpendicular lines is always equal to 5 units. The area (in square units) enclosed by the locus of the point is

A

`(25)/(4)`

B

25

C

50

D

100

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Knowledge Check

  • A point moves in the xy-plane such that the sum of its distances from two mutually perpendicular lines is always equal to 5 units. The are (in square units) enclosed by the locus of the point, is

    A
    `25//4`
    B
    25
    C
    50
    D
    100

  • A point moves in the XY-plane such that the sum of its distances from two mutually perpendicular lines is always equal to 3. The area enclosed by the locus of that point is (in sq, units)

    A
    27
    B
    18
    C
    9
    D
    `9/2`

  • If the sum of the distance of a point P from two perpendicular lines in a plane is 1, then the locus of P is a

    A
    Rhombus
    B
    Circle
    C
    Straight line
    D
    Pair of straight lines

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