Home
Class 12
MATHS
A point moves in the x y -plane such tha...

A point moves in the `x y` -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 the point is

A

18 sq. units

B

`(9)/(2)` sq. units

C

7 sq. units

D

`(7)/(2)` sq. units

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

An ellipse is the set of all points in a plane the sun of whose distance from two fixed points in the plane is a constant ?

The locus of the point which moves such that the ratio of its distance from two fixed point in the plane is always a constant K(lt 1) is

Knowledge Check

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

    A
    a square
    B
    a circle
    C
    a parabola
    D
    an ellipse

  • The locus of a point which moves such that the sum of its distances from two fixed points is a constant is

    A
    an ellipse
    B
    a hyperbola
    C
    a circle
    D
    a parabola

  • The locus of the point which moves such that sum of its distance from (2,-3) and (2,5) is always 10 is

    A
    `((x-2)^(2))/(16)+((y-1)^(2))/(25)=1`
    B
    `((x-2)^(2))/(9)+((y-1)^(2))/(25)=1`
    C
    `((x-2)^(2))/(25)+((y-1)^(2))/(9)=1`
    D
    ` ((x-2)^(2))/(25)+((y-1)^(2))/(16)=1`

    • Similar Questions

    Explore conceptually related problems

    A point moves such that its distance from the point (4,0) is half that of its distance from the line x=16 . The locus of the point is

    A point moves in a plane so that its distances PA and PB from two fixed points A and B in the plane satisfy the relation PA - PB = (k ne 0) , then the locus of P is :

    The locus of a point which moves such that the difference of its distances from two fixed points is always of its distances from two fixed points is always a constant is

    If a point P moves such that its distance from the point A(1,1) and the line x+y+2 are equal then the locus is

    The co-ordinates of a point on the line x+y=3 such that the point is at equal distances from the lines |x|=|y| are :

    Home
    Profile