What is the range of lengths of chord of contact of a circle with radius R.
What is the range of lengths of chord of contact of a circle with radius R.
(O, 
)
The correct option is B (O, 2R)
The length of chord of contact of a circle is minimum when the point is about to touch the circle. At this point the length of chord ≈ 0.
When the point is taken away from the circle the length of the chord increases and it reaches 2R when the external point is at infinity.
When point p0 is on the circle we get a tangent instead of a chord, or a chord of zero length.
When point is at a finite distance from circle , say px, then the length of the chord comes between zero and the length of the diameter. And finally when the point is at infinity, say pi, then the chord od contact goes through the centre and the length becomes equal to the diameter of the circle.
(O, 2R)
The length of chord of contact of a circle is minimum when the point is about to touch the circle. At this point the length of chord ≈ 0.
When the point is taken away from the circle the length of the chord increases and it reaches 2R when the external point is at infinity.
When point p0 is on the circle we get a tangent instead of a chord, or a chord of zero length.
When point is at a finite distance from circle , say px, then the length of the chord comes between zero and the length of the diameter. And finally when the point is at infinity, say pi, then the chord od contact goes through the centre and the length becomes equal to the diameter of the circle.
