If the line x cos \(\theta\) + y sin \(\theta\) = 2, \(\theta \ \in\) [0, 2 \(\pi\) ] touches the circle x 2 + y 2 - 2x = 0 then the number of such tangent(s), is:

Circles

Grade 11

Question:

If the line x cos\(\theta\) + y sin\(\theta\) = 2, \(\theta \ \in\) [0, 2\(\pi\)] touches the circle x2 + y2 - 2x = 0 then the number of such tangent(s), is:

0

1

2

4

Step-by-Step Solution

Key Concept: For a line to be tangent to a circle, the perpendicular distance from the center of the circle to the line must equal the circle's radius.

1

Correct Answer: B

Question:

Step-by-Step Solution

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