Equation of a straight line meeting the circle `x^(2)+y^(2)=100` in two points, each point is at a distance of `4` units from the point `(8,6)` on the circle, is `ax+by-46=0` where `a, b in N` then `a+b` is equal to

Equation of the straight line which meets the circle x^2 + y^2 = 8 at two points where these points are at a distance of 2 units from the point A(2, 2) is

Equation of the straight line meeting the cirle with centre at origin and radius equal to 5 in two points at equal distances of 3 units from the point (3,4) is

Show that the equation of a straight line meeting the circle x^(2)+y^(2)=a^(2) in two points at equal distances'd' from a point x_(1),y_(1) on the circumeference is xx_(1)+yy_(1)-a^(2)+(d^(2))/(2)=0

The number of points on the circle x^(2)+y^(2)=4 which are at a distance of two units from (3,4) is

If the line y = 7x - 25 meets the circle x^(2) + y^(2) = 25 in the points A,B then the distance between A and B is

Show that the equation of the straight line meeting the circle x^2 + y^2 = a^2 in two points at equal distance d from (x_1, y_1) on the curve is x x_1 + yy_1 - a^2 + 1/2 d^2 = 0 . Deduce the equaiton of the tangent at (x_1, y_1) .

Find the equations of the tangents from the point A(3,2) to the circle x^(2)+y^(2)+4x+6y+8=0 .

The coordinates of the points on the circles x^(2) +y^(2) =9 which are at a distance of 5 units from the line 3x + 4y = 25 are :