Sunita draws a circle and a straight line in the same plane. She then slides the line keeping its direction fixed, counting positions where the line just touches the circle (is tangent to it). For a single fixed direction, how many tangent positions does she find?

Question

Accepted Answer

2. For any fixed direction there are exactly 2 tangents to a circle, one on each side, parallel to each other.

Sunita draws a circle and a straight line in the same plane.
She then slides the line keeping its direction fixed, counting positions where the line just touches the circle (is tangent to it).
For a single fixed direction, how many tangent positions does she find?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Number of Tangents from a Point practice

Sunita draws a circle and a straight line in the same plane.She then slides the line keeping its direction fixed, counting positions where the line just touches the circle (is tangent to it).For a single fixed direction, how many tangent positions does she find?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Number of Tangents from a Point practice

Sunita draws a circle and a straight line in the same plane.
She then slides the line keeping its direction fixed, counting positions where the line just touches the circle (is tangent to it).
For a single fixed direction, how many tangent positions does she find?