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 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

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) .

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

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).

Find the equation of two straight lines which are parallel to x+7y+2=0 and at unit distance from the point (1,-1) .