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

Line 3x + 6y = 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

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

If the straight line 2x+3y=1 intersects the circle x^2+y^2=4 at the points A and B then find the equation of the circle having AB as diameter.

The line, represented by the equation 3x - 8y = 2 , passes through the point (k, 2). Find the value of k.

If the lines 2x+3y+1=0, 6x+4y+1=0 intersect the co-ordinate axes in 4 points, then the circle passing through the points is

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

The line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0

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

A line L passing through the point (2, 1) intersects the curve 4x^2+y^2-x+4y-2=0 at the point Aa n dB . If the lines joining the origin and the points A ,B are such that the coordinate axes are the bisectors between them, then find the equation of line Ldot

The line given by the equation 2x - y/3 = 7 passes through the point (k, 6) , calculate the value of k.