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MHT CET2009MathematicsEllipse

If 4 x-3 y+k=0 touches the ellipse 5 x²+9 y²=45 , then k is equal to

Options

  1. A3 21
  2. B3 21
  3. C-3 21
  4. D2 21

Correct answer

A. 3 21

Step-by-step solution

If line 4 x-3 y+k=0 touches the ellipse x² 9 + y² 5 =1 , then k 3 = 9 ( 4 3 )²+5 = 21 = 3 21

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