A line `L` varies such that length of perpendicular on it from origin `O` is always 4 units. If `L` cuts x-axis and y-axis at `A` and `B` respectively then minimum value of `(OA)^(2)+(OB)^(2)` is

Length of perpendicular from origin to the line l:x-sqrt(3)y+4=0 is 4 unit.

The foot of the perpendicular on theline 3x+y=lambda drawn from the origin is C. If the line cuts the x-and the y-axis at A and B, respectively, then BC:CA is

Find equation of line L whose length of perpendicular from origin is 2 unit with slope (5)/(12) .

A line of negative slope passing through the centre of circle x^2 y^2 - 16x - 4y = 0 intersects pve x and y-axis at A and B respectively then the minimum value of OA OB (O is origin) is

Among the lines passing through C (3,1), BA is farthest from the origin and cuts the x -axis and y -axis at A and B respectively. Then BC/CA is........

A line cuts x-axis at A and y-axis B such that AB=l Match the following

The tangents at an extremity (in the first quadrant ) of latus rectum of the hyperbola (x^(2))/( 4) - ( y^(2))/( 5)=1 meets x-axis and y- axis at A and B respectively . Then (OA)^(2) - (OB) ^(2) , where O is the origin , equals

Find the equation of a circle through origin which cuts of intercepts -2 and 3 units from the x-axis and Y-axis respectively.

The tangent at an extremity of latus rectum of the hyperbola meets x axis and y axis A and B respectively then (OA)^(2)-(OB)^(2) where O is the origin is equal to