A tangent to the hyperbola `x^(2)/4 - y^(2)/1 = 1` meets ellipse `x^(2) + 4y^(2) = 4` in two distinct points .
Then the locus of midpoint of this chord is

A tangent to the ellipse x^(2)+4y^(2)=4 meets the ellipse x^(2)+2y^(2)=6 at P o* Q.

Tangents are drawn from any point on the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 to the circle x^(2)+y^(2)=9. Find the locus of the midpoint of the chord of contact.

Tangents are drawn from points on the hyperbola x^(2)/9-y^(2)/4=1 to the circle x^(2)+y^(2)=9 . Then show that the locus of the mid point of the chord of contact is (x^(2)+y^(2))^(2)=81 (x^(2)/9-y^(2)/4)

A tangent to the ellipse x^2+4y^2=4 meets the ellipse x^2+2y^2=6 at P&Q.

If the tangent drawn to the hyperbola 4y^2=x^2+1 intersect the co-ordinate axes at the distinct points A and B, then the locus of the mid-point of AB is:

If the tangent drawn to the hyperbola 4y^2=x^2+1 intersect the co-ordinate axes at the distinct points A and B, then the locus of the mid-point of AB is:

If the ellipse (x^(2))/( 4) + y^(2) =1 meets the ellipse x^(2) +(y^(2))/( a^(2)) =1 in four distinct points and a= b ^(2) - 5b+ 7, then b does not lie in