TOPICS
Exercise - 10.1

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

Solution :-
  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 ..................

Solution :-
(i) A tangent to a circle intersects it in one  point (s). 
(ii) A line intersecting a circle in two points is called a secant. 
(iii) A circle can have two  parallel tangents at the most. 
(iv) The common point of a tangent to a circle and the circle is called Point 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.

Solution :-
  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.

Solution :-
circle
   In figure, AB shows tangent line and PQ shows secant line. 
    
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