A line y=2x+K cuts the curve `(x-3)^(2)+(y-4)^(2)=25` at A and B and if `bar(AB)` subtends `90^(@)` at origin then the value of K equals

Line x+ay=1 cuts the circle x^(2)+y^(2)-4x-2y+1=0 at two points A and B such that Chord AB subtends an angle of 90^(@) at origin then sum of possible values of alpha is

Line x+ ay =1 cuts the circle x^(2)+y^(2)-4x-2y+1=0 at two points A and B such that Chord AB subtends an angle of 90^(@) at origin then sum of possible values of a is

Line x+ ay =1 cuts the circle x^(2)+y^(2)-4x-2y+1=0 at two points A and B such that Chord AB subtends an angle of 90^(@) at origin then sum of possible values of a is

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

The points A(3, 6) and B lie on the parabola y^(2)=4ax , such that the chord AB subtends 90^(@) at the origin, then the length of the chord AB is equal to

The line 7y-x=25 cuts the curve x^(2)+y^(2)=25 at the points A and B. Find the equation of the perpendicular bisector of the line AB.

if the line y=x sqrt(3) cuts the curve x^(3)+y^(3)+3xy+5x^(2)+3y^(2)+4x+5y+1=0 at point A,B,C then find the value of OA.OB.OC is equal to (where O is the origin)

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

If the line " 4y-3x-8=0 " cuts the parabola " x^(2)+y-4=0 " at "A" and "B" .and " |PA.PB| " is equal to " (k)/(8) " where " P=(0,2) " then the value of "k" is.