An ellipse passing through the origin has its foci (3, 4) and (6, 8). The length of its semi-minor axis is `bdot` Then the value of `b/(sqrt(2))` is____

Column I, Column II An ellipse passing through the origin has its foci (3, 4) and (6,8). Then the length of its minor axis is, p. 8 If P Q is a focal chord of the ellipse (x^2)/(25)+(y^2)/(16)=1 which passes through S-=(3,0) and P S=2, then the length of chord P Q is, q. 10sqrt(2) If the line y=x+K touches the ellipse 9x^2+16 y^2=144 , then the difference of values of K is, r. 10 The sum of distances of a point on the ellipse (x^2)/9+(y^2)/(16)=1 from the foci is, s. 12

y-axis is a tangent to one ellipse with foci (2,0) and (6,4) if the length of the major axis is then [x]=_____

The equation of ellipse whose foci are (pm 3, 0) and length of semi-major axis is 4 is

The eccentricity of the ellipse whose foci are (3,2) and (3,-2) and whose length of semiminor axis =sqrt(5) is

If (0, 3+sqrt5) is a point on the ellipse whose foci and (2, 3) and (-2, 3) , then the length of the semi - major axis is

The equation of the ellipse, the co-ordinates of whose foci a re (pmsqrt(3), 0) and length of the semi-major axis as 2 is

The foci of an ellipse are located at the points (2,4) and (2,-2) . The point (4,2) lies on the ellipse. If a and b represent the lengths of the semi-major and semi-minor axes respectively, then the value of (ab)^(2) is equal to :

Find the equation of the ellipse whose foci are (2,3),(-2,3) and whose semi-minor axes is sqrt5 .

Consider the ellipse E_1, x^2/a^2+y^2/b^2=1,(a>b) . An ellipse E_2 passes through the extremities of the major axis of E_1 and has its foci at the ends of its minor axis.Consider the following property:Sum of focal distances of any point on an ellipse is equal to its major axis. Equation of E_2 is

A hyperbola passes through (3, 3) and the length of its conjugate axis is 8. Find the length of the latus rectum.