From a point "P" on the line `2x+ y +4` which is nearest to the circle` x^2 +y^2-12y+35=0` 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 line 2x+ y +4 = 0 which is nearest to the circle x^2 +y^2-12y+35=0 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.

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=3 from which the tangents drawn to the circle x^2+y^2=8 are at right angles is

Point on the circle x^(2)+y^(2)-2x+4y-4=0 which is nearest to the line y=2x+11 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

If the line a x+b y=2 is a normal to the circle x^2+y^2-4x-4y=0 and a tangent to the circle x^2+y^2=1 , then

If the line a x+b y=2 is a normal to the circle x^2+y^2+4x+4y=0 and a tangent to the circle x^2+y^2=1 , then a and b are

To the circle x^(2)+y^(2)+8x-4y+4=0 tangent at the point theta=(pi)/4 is

If the line y=2x+c is a tangent to the circle x^(2)+y^(2)=5 then a value of c is