The line 3x – 2y = k meets the circle x 2 + y 2 = 4r 2 at only one point, if k 2 is

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

The line 3x – 2y = k meets the circle x2 + y2 = 4r2 at only one point, if k2 is
  1. 20r2
  2. 52r2
  3. \(\frac{52}{9} \mathrm{r}^{2}\)
  4. \(\frac{20}{9} r^{2}\)

Answer

(B) 52r 2

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