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 `x x_1+yy_1-a^2+d^2/2=0`

The equation of the straight line meeting the circle x^(2)+y^(2)=a^(2) in two points equal distance d from a point (x_(1),y_(1)) on the circumference is xy_(1)+yy_(1)=

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) .

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) .

If the line y=mx +1 meets the circle x^(2)+y^(2)+3x=0 in two points equidistant and on opposite sides of x-axis, then

If the line y=mx +1 meets the circle x^(2)+y^(2)+3x=0 in two points equidistant and on opposite sides of x-axis, then

Find the equations of two straight lines which are parallel to the line 12x+5y+2=0 and at a unit distance from the point (1, -1).

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 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

Show that x + y = 1 is the equation of the line of a diameter of the circle x ^2 + y ^2 - 4x + 2y + 1 = 0