From which point shown below can we draw two tangents to the following circle?

P is a point outside the circle, R inside the circle and Q lies on the circle.

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Solution

Two tangents can be drawn on to a circle if the point is exterior to it. In this case, since P is the only point exterior to the circle, so we can draw two tangents from P.

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Similar questions

Which of the following stateements is not true ?

(a) If a point P lies inside a circle, no tangent can be drawn to the circle, passing through P.

(b) If a point P lies on the circle, then one and only tangent can eb drawn to the circle at P.

(d) A circle can have more than two parallel tangents, parallel to a given line.

From which point shown below can we draw two tangents to the following circle?

P is a point outside the circle, R inside the circle and Q lies on the circle.

From which point shown below can we draw one tangent to the following circle?

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