Question

The chord of contact of tangents from points A and B to a circle intersects at a point on the circle only then the line is joining A and B is a
1. Diameter of the circle
2. tangent of the circle
3. chord other than diameter
4. is neither touching nor intersecting the circle​

Answer 1

Answer:

Tangent to a Circle

The line that joins two infinitely close points from a point on the circle is a Tangent. In other words, we can say that the lines that intersect the circles exactly in one single point are Tangents. Point of tangency is the point where the tangent touches the circle. At the point of tangency, a tangent is perpendicular to the radius. Several theorems are related to this because it plays a significant role in geometrical constructions and proofs. We will look at them one by one

Answer 2

Given :- The chord of contact of tangents from points A and B to a circle intersects at a point outside the circle only then the line is joining A and B is a :-

1. Diameter of the circle.

2. tangent of the circle.

3. chord other than diameter .

4. is neither touching nor intersecting the circle .

Solution :-

from image we have,

• Tangent from A and tangent from B intersects at a point P .
• Join A and B .

So, we can conclude that, AB is a chord of circle other than the diameter of the circle.

Therefore, Option (3) is correct answer.

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