The line l is tangent to the circle S at the point A; B and C are points on 'i' on opposite sides of A and the other tangents from B, C to S intersect at a point P. If B,C vary along 'i' in such a way that the product of AB.AC is constant, find the locus of P.

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Q. Which of these statements are True -
(a) A tangent to a circle intersects it in one point.
(b) A line intersecting a circle in two points is called secant.
(c) A circle can have two parallel tangents at the most.
(d) The common point of a tangent to a circle is called point of contact.

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at the point whose parametric angles differ (i) by

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Fill in the blanks:
(i) The common point of a tangent and the circle is called___
(ii)A circle may have___ parallel tangents.
(iii)A tangent to a circle intersects it in___ point(s).
(iv)A line intersecting a circle in two points is called a___
(v)The angle between tangent at a point on a circle and the radius through the points is___

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(i) The common point of a tangent and the circle is called ....... .
(ii) A circle may have ....... parallel tangents.
(iii) A tangent to a circle intersects in it ....... point(s).
(iv) A line intersecting a circle in two points is called a ....... .
(v) The angle between tangent at a point on a circle and the radius through the point is ....... .

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