Tangent to the circle `x^2+y^2=4` at any point on it in the first quadrant makes intercept OA and OB on x axis and y axis respectively.O being the center of circle. Find the minimum value of `OA + OB`

Tangent to the circle x^(2)+y^(2)=a^(2) at any point on it in the first quadrant makes intercepts OA and OB on x and y axes respectively,O being the centre of the circle. Find the minimum value of OA+OB

Equation of the circle passing through the origin and makes intercepts 4 and 6 on negative x -axis & negative y -axis respectively is

Find the equation of a circle which passes through the origin and makes intercepts of 2 units and 4 units on x-axis and y-axis respectively.

Find the equation of the circle passing through (0,0) and making intercepts 4,3 on X- axis and Y - axis respectively

The circle x^(2)+y^(2)-4x-4y+4=0 is inscribed in a variable triangle OAB. sides OA and OB lie along the x -and y -axis, respectively,where O is the origin.Find the locus of the midpoint of side AB.

(i) Find the equation of the circle passing through (0,0) and making intercepts 4,3 on X axis and Y-axis respectively. (ii) Find the equation of the circle passing through (0,0) and making intercepts 6 units on X-axis and intercepts 4 units on Y-axis.

If the intercepts of the variable circle on the x- and y-axis are 2 units and 4 units, respectively, then find the locus of the center of the variable circle.

If the intercepts of the variable circle on the x- and y-axis are 2 units and 4 units, respectively, then find the locus of the center of the variable circle.