Tangents PQ and PR are drawn to the circle `x^2 + y^2 = a^2` from the point `P(x_1, y_1)`.Prove that equation of the circum circle of `trianglePQR` is `x^2+y^2-x x_1 - yy_1= 0`.

Tangent PQ and PR are drawn to the circle x^2 + y^2 = a^2 from the pint P(x_1, y_1) . Find the equation of the circumcircle of DeltaPQR .

Tangents PQ and PR are drawn to the circle x^(2)+y^(2)=a^(2) from the point P(x_(1),y_(1)). Prove x^(2)+y^(2)=a^(2) from the point P(x_(1),y_(1)). Prove that equation of the circum circle of /_PQR is x^(2)+y^(2)-xx_(1)-yy_(1)=0

Two tangents PQ and PR drawn to the circle x^2 +y^2-2x-4y-20=0 from point P(16,7). If the centre of the circle is C, then the area of quadrilateral PQCR will be

Tangents PA and PB are drawn from P(a,b) to the circle x^(2)+y^(2)=r^(2) . The equation to the circum circle of trianglePAB is

The length of the tangent of the circle x^2+y^2-2x-y -7 = 0 from the point (-1,-3) is

The length of the tangent drawn to the circle x^(2)+y^(2)-2x+4y-11=0 from the point (1,3) is

Find the equations of the tangents to the circle x^(2) + y^(2)=16 drawn from the point (1,4).