Home
Class 11
MATHS
If a circle of constant radius 3k passe...

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`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

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

A circle of constant radius 5 units passes through the origin O and cuts the axes at A and B. Then the locus of the foot of the perpendicular from O to AB is (x^(2)+y^(2))^(2)(x^(-1)+y^(-2))=k then k=

A circle of constant radius r passes through the origin O, and cuts the axes at A and B. The locus of the foots the perpendicular from O to AB is (x^(2) + y^(2)) =4r^(2)x^(2)y^(2) , Then the value of k is

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

If a circle passes through the point (a,b) and cuts the circle x^(2)+y^(2)=k^(2) orthogonally, then the equation of the locus of its center is

The tangent at the point P on the rectangular hyperbola xy=k^(2) with C intersects the coordinate axes at Q and R. Locus of the coordinate axes at triangle CQR is x^(2)+y^(2)=2k^(2)(b)x^(2)+y^(2)=k^(2)xy=k^(2)(d) None of these

o is the origin. A and B are variable points on y =x and x +y=0 such that the area of triangle OAB is k^2. The locus of the circumcentre of triangle OAB is