The line `3x+5y=k` touches the ellipse `16x^(2)+25y^(2)=400` ,if `k` is

Foci of the ellipse 16x^(2)+25y^(2)=400 are

If the line y=x+c touches the ellipse 2x^(2)+3y^(2)=1 then c=

The value of |C| for which the line y=3x+c touches the ellipse 16x^2+y^2=16 is:

If the line y=x+k touches the ellipse 9x^(2)+16y^(2)=144 ,then the absolute difference of the values of k is

The values of lamda for which the line y=x+ lamda touches the ellipse 9x^(2)+16y^(2)=144 , are

The length of the latusrectum of the ellipse 16x^(2)+25y^(2)=400 is

If 4x-3y+k=0 touches the ellipse 5x^(2)+9y^(2)=45 , then k is equal to

A ray emanating from the point (-3,0) is incindent on the ellipse 16x^(2)+25y^(2)=400 at the point p with ordinate 4. Find the equation of the reflected ray after first reflection.