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The number of real tangents that can be drawn to the ellipse 3 x^2+5 y^2=32 passing through (3,5) is

Options

  1. A0
  2. B1
  3. C2
  4. Dinfinite

Correct answer

C. 2

Step-by-step solution

Since, 3(3)^2+5(5)^2-32 0 . So, the given point lies outside the ellipse. Hence, two real tangents can be drawn from the point to the ellipse.

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