Home
Class 12
MATHS
A circle of radius 'r' passes through th...

A circle of radius 'r' passes through the origin `O` and cuts the axes at A and B,Locus of the centroid of triangle OAB is

A

`(x^(2)+y^(2))^(2)=4Rx^(2)y^(2)`

B

`(x^(2)+y^(2))(x+y)=R^(2)xy`

C

`(x^(2)+y^(2))^(3)=4R^(2)x^(2)y^(2)`

D

`(x^(2)+y^(2))^(2)=4R^(2)x^(2)y^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE|Exercise Chapter 5 (Parabola)|6 Videos
  • JEE 2019

    CENGAGE|Exercise Chapter 6 (Ellipse)|3 Videos
  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise All Questions|529 Videos
  • LIMITS

    CENGAGE|Exercise Question Bank|17 Videos

Similar Questions

Explore conceptually related problems

A sphere of constant radius k , passes through the origin and meets the axes at A ,Ba n d Cdot Prove that the centroid of triangle A B C lies on the sphere 9(x^2+y^2+z^2)=4k^2dot

If a circle of constant radius 3k passes through the origin O and meets the coordinate axes at Aa n dB , then the locus of the centroud of triangle O A B is (a) x^2+y^2=(2k)^2 (b) x^2+y^2=(3k)^2 (c) x^2+y^2=(4k)^2 (d) x^2+y^2=(6k)^2

A sphere of constant radius 2k passes through the origin and meets the axes in A ,B ,a n dCdot The locus of a centroid of the tetrahedron O A B C is a. x^2+y^2+z^2=4k^2 b. x^2+y^2+z^2=k^2 c. 2(k^2+y^2+z)^2=k^2 d. none of these

A variable line through the point P(2,1) meets the axes at Aa n dB . Find the locus of the centroid of triangle O A B (where O is the origin).

A variable line through point P(2,1) meets the axes at Aa n dB . Find the locus of the circumcenter of triangle O A B (where O is the origin).

P is the variable point on the circle with center at CdotC A and C B are perpendiculars from C on the x- and the y-axis, respectively. Show that the locus of the centroid of triangle P A B is a circle with center at the centroid of triangle C A B and radius equal to the one-third of the radius of the given circle.

Consider a hyperbola xy = 4 and a line y = 2x = 4 . O is the centre of hyperbola. Tangent at any point P of hyperbola intersect the coordinate axes at A and B. Locus of circumcentre of triangle OAB is

A variable circle passes through the point A(a ,b) and touches the x-axis. Show that the locus of the other end of the diameter through A is (x-a)^2=4b y .

If the point 3x+4y-24=0 intersects the X -axis at the point A and the Y -axis at the point B , then the incentre of the triangle OAB , where O is the origin, is

A variable chord is drawn through the origin to the circle x^2+y^2-2a x=0 . Find the locus of the center of the circle drawn on this chord as diameter.