text: # Ex.10.1 Q2. CIRCLES Solution - NCERT Maths Class 10
  
  Go back to  'Ex.10.1'
  
  ## Question
  
  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 _________ .
  
  Video Solution
  Circles
  Ex 10.1 | Question 2
  
  ## Text Solution
  
  Steps:
  
  (i) A tangent to a circle intersects it in       One         point (s).
  
  Reasoning:
  
  A tangent to a circle is a line that intersects the circle at only one point.
  
  (ii) A line intersecting a circle in two points is called a    Secant   .
  
  Reasoning:
  
  Secant is a line that intersects the circle in two points.
  
  (iii) A circle can have    Two     parallel tangents at the most.
  
  Reasoning:
  
  Tangent at any point of a circle is perpendicular to the radius through the point of contact. Extended radius is a diameter which has two end points and hence two tangents which are parallel to themselves and perpendicular to the diameter.
  
  Center $$O,$$ diameter $$AB,\text{ tangents}\, PQ, RS$$ and, $${PQ}\; \| \;{RS}$$
  
  $$A$$ and $$B$$ are called as point of contact.
  
  (iv) The common point of a tangent to a circle and the circle is called    Point of contact     .
  
  Reasoning:
  
  A tangent to a circle is a line that intersects the circle at only one point and that point is called as point of contact.
  
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