If `px+qy=r` be a tangent to the circle `x^(2)+y^(2)=a^(2)` at any given point then find the equatin of the normal to the circle at the same point.

If lx +my+n =0 be a tangent to the circle x^(2)+y^(2)+2gx+2fy+c=0 at a given point, on it, find the equation of the normal to the circle at the same point.

Find the equation of the tangent and normal to the circle x^2+y^2=25 at the point (3, -4).

Slope of tangent to the circle (x-r)^(2)+y^(2)=r^(2) at the point (x.y) lying on the circle is

The straight line 3x-4y +7 = 0 is a tangent to the circle x^(2) + y^(2) + 4x + 2y + 4 = 0 at P, find the equation of its normal at the same point.

If x+2y=5 is tangent to the circle x^(2)+y^(2)=5 ,then equation of normal at their point of contact is

Find the equation of tangent to the circle x^(2)+y^(2)=a^(2) at the point (a cos theta, a sin theta) . Hence , show that the line y=x+a sqrt(2) touches the given circle,Find the coordinats of the point of contact.

Find the equation of the tangent and normal to the circle 2x^2+2y^2-3x-4y+1=0 at the point (1,2)

Find the equations of the tangent and normal to the circle x^(2)+y^(2)=169 at the point (5,12) .

Tangents from an external point. Find the equations of the tangents to the circle x^(2) +y^(2)= 10 through the external point (4, - 2).

Tangents PT_(1), and PT_(2) are drawn from a point P to the circle x^(2)+y^(2)=a^(2). If the point P line Px+qy+r=0 ,then the locus of the centre of circumcircle of the triangle PT_(1)T_(2) is