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MHT CET2010MathematicsCircle

Let the equation of circle is x²+y²-6 x-4 y+9=0 . Then the line 4 x+3 y-8=0 is a

Options

  1. Atangent of the circle
  2. Bnormal of the circle
  3. Cchord of the circle
  4. DNone of the above

Correct answer

A. tangent of the circle

Step-by-step solution

Given circle is x²+y²-6 x-4 y+9=0C=(3,2), r=2 If line 4 x+3 y-8=0 is a tangent to the circle, then | 4(3)+3(2)-8 16+9 |=2 | 10 5 |=2 2=2 Hence, it is a tangent of the circle.

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