Yes, the statement is correct. If two circles touch each other, the point of contact does indeed lie on the straight line joining their centers. Here's why:

1. Let's consider two circles with centers A and B. Let's say these circles touch each other at a point C.

2. Draw a line from A to B. This line is the line joining the centers of the two circles.

3. Now, consider the point C where the circles touch. This point is equidistant from both A and B because it lies on the circumference of both circles.

4. Therefore, the point C must lie on the line joining A and B, because a point that is equidistant from two other points lies on the line joining those two points.

5. Hence, if two circles touch, the point of contact lies on the straight line joining their centers.

Question

Yes, the statement is correct. If two circles touch each other, the point of contact does indeed lie on the straight line joining their centers. Here's why:

1. Let's consider two circles with centers A and B. Let's say these circles touch each other at a point C.

2. Draw a line from A to B. This line is the line joining the centers of the two circles.

3. Now, consider the point C where the circles touch. This point is equidistant from both A and B because it lies on the circumference of both circles.

4. Therefore, the point C must lie on the line joining A and B, because a point that is equidistant from two other points lies on the line joining those two points.

5. Hence, if two circles touch, the point of contact lies on the straight line joining their centers.

Knowee AI · Accepted Answer

Yes, the statement is correct. If two circles touch each other, the point of contact does indeed lie on the straight line joining their centers. Here's why:

1. Let's consider two circles with centers A and B. Let's say these circles touch each other at a point C.

2. Draw a line from A to B. This line is the line joining the centers of the two circles.

3. Now, consider the point C where the circles touch. This point is equidistant from both A and B because it lies on the circumference of both circles.

4. Therefore, the point C must lie on the line joining A and B, because a point that is equidistant from two other points lies on the line joining those two points.

5. Hence, if two circles touch, the point of contact lies on the straight line joining their centers.

f two circles touch, the point of contact lies on the straight line joining their centres

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