Home
Class 11
MATHS
From a point P on the normal y=x+c of th...

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.

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

Two tangents drawn from P(7,1) to the circle x^(2)+y^(2)=25 touches the circle at Q and R . The area of the quadrilateral P Q O R is

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

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

From a point P on the line 2x y 4 which is nearest to the circle x2 ty 12y35 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

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