The line `3x+6y=k` intersects the curve `2x^2+3y^2=1` at points `Aa n dB` . The circle on `A B` as diameter passes through the origin. Then the value of `k^2` is__________

Line 3x + by = k intersect the curve 2x^2 + 3y^2 + 2xy=1 at points A and B. Thecircle on AB as diameter passes through origin,then sum of all possible values of 'k' is

If the line 2x-3y=k passing through the origin, then the value of k is

If the line 2x-3y=k passing through the origin, then the value of k is

The circle x^(2)+y^(2)=4 cuts the circle x^(2)+y^(2)-2x-4=0 at the points A and B. If the circle x^(2)+y^(2)-4x-k=0 passes through A and B then the value of k , is

The line 3x-2y=k meets the circle x^(2)+y^(2)=4r^(2) at only one point, if k^(2)=

If the curve y=ax^(2)+bx+c passes through the point (1, 2) and the line y = x touches it at the origin, then

If a line 3x+4y-20=0 intersect the circle x^2+y^2=25 at the point A,B then The radius of the circle which is orthogonal to the given circle and which pass through points A and B is