From a point "P" on the line 2x y 4 which is nearest to the circle x2 +y 12y 35 tangents are drawn to give circle. The area of quadrilateral PACB (where 'C' is the center of circle and PA & PB re the tangents.) is

From a point P on the normal y=x+c of the circle x^2+y^2-2x-4y+5-lambda^2-0, two tangents are drawn to the same circle touching it at point Ba n dC . If the area of quadrilateral O B P C (where O is the center of the circle) is 36 sq. units, find the possible values of lambdadot It is given that point P is at distance |lambda|(sqrt(2)-1) from the circle.

A point on the line x=3 from which the tangents drawn to the circle x^(2)+y^(2)=8 are at right angles is

Two tangents to the circle x^(2)+y^(2)=4 at the points A and B meet at P(-4,0), The area of the quadrilateral PAOB, where O is the origin,is

A point on the line x=4 from which the tangents drawn to the circle 2(x^(2)+y^(2))=25 are at right angles, is

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

Tangents are drawn from a point P on the line y=4 to the circle x^(2)+y^(2)=25 .If the tangents are perpendicular to each other,then coordinates of P are

The line 2x-y+1=0 is tangent to the circle at the point (2,5) and the centre of the circles lies on x-2y=4. The radius of the circle is