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How many tangents can a circle have?
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Circle is the locus of points equidistant from a given point, which is the center of the circle and tangent is the line which intersect circle at one point only
As circle has infinite points So there will be infinite tangents can be drawn on these points which touches at only one point
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Let be the line passing through the points and . Let be the set of all pairs of circles such that is tangent to at and tangent to at , and also such that and touch each other at a point, say, . Let be the set representing the locus of as the pair varies in . Let the set of all straight lines segments joining a pair of distinct points of and passing through the point be . Let be the set of the mid-points of the line segments in the set . Then, which of the following statement(s) is (are) TRUE?The point lies in (b) The point does NOT lie in (c) The point lies in (d) The point does NOT lie in 
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| Question Text | How many tangents can a circle have? |
| Answer Type | Text solution:1 |
| Upvotes | 150 |
