Let from a point A (h,k) chord of contacts are drawn to the ellipse `x^2+2y^2=6` such that all these chords touch the ellipse `x^2+4y^2=4,` then locus of the point A is

Let form a point A(h, k) chords of contact are drawn to the ellipse x^(2)+2y^(2)=6 where all these chords touch the ellipse x^(2)+4y^(2)=4 . Then, the perimeter (in units) of the locus of point A is

If the line 3x+4y=sqrt(7) touches the ellipse 3x^(2)+4y^(2)=1, then the point of contact is

Find locus of mid point of chord of x^2-y^2=4 such that this chord touches y^2=8x

From a point P tangents are drawn to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 If the chord of contact touches the auxiliary circle then the locus of P is

The equation of the chord of the ellipse 2x^(2)+3y^(2)=6 having (1,-1) as its mid point is

From (3,4) chords are drawn to the circle x^(2)+y^(2)-4x=0. The locus of the mid points of the chords is :

Tangents are drawn from points on the line x-y+2=0 to the ellipse x^(2)+2y^(2)=4 then all the chords of contact pass through the point

From the point P ,the chord of contact to the ellipse E_(1):(x^(2))/(a)+(y^(2))/(b)=(a+b) touches the ellipse E_(2):(x^(2))/(a^(2))+(y^(2))/(b^(2))=1 Then the locus of point P

If the chord of contact of tangents from a point P(h, k) to the circle x^(2)+y^(2)=a^(2) touches the circle x^(2)+(y-a)^(2)=a^(2) , then locus of P is

From a variable point P a pair of tangent are drawn to the ellipse x^(2)+4y^(2)=4, the points of contact being Q and R. Let the sum of the ordinate of the points Q and R be unity.If the locus of the point P has the equation x^(2)+y^(2)=ky then find k