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Exercise - 10.1

Circles

**Question-1 :-** How many tangents can a circle have?

Infinitely many

**Question-2 :-** Fill in the blanks :

(i) A tangent to a circle intersects it in ............. point (s).

(ii) A line intersecting a circle in two points is called a ................

(iii) A circle can have ............. parallel tangents at the most.

(iv) The common point of a tangent to a circle and the circle is called ..................

(i) A tangent to a circle intersects it inonepoint (s). (ii) A line intersecting a circle in two points is called asecant. (iii) A circle can havetwoparallel tangents at the most. (iv) The common point of a tangent to a circle and the circle is calledPoint of contact.

**Question-3 :-** A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is :

(A) 12 cm (B) 13 cm (C) 8.5 cm (D) √119 cm.

Given that : Radius (PO) = 5 cm Length (OQ) = 12 cm Length (PQ) = ? By using of pythagoras Theorem, PQ = √OQ² - PO² = √12² - 5² = 144 - 25 = 119 cm

**Question-4 :-** Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.

In figure, AB shows tangent line and PQ shows secant line.

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