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Multiple choice

Tangents are drawn from any point on the ellipse $\dfrac{x^{2}}{a^{2}}+\dfrac{y^{2}}{b^{2}}=1$ to the circle $x^{2}+y^{2}=r^{2}$. The chord of contact touches the ellipse

  1. $a^{2}x^{2}+b^{2}y^{2}=r^{2}$
  2. $b^{2}x^{2}+a^{2}y^{2}=r^{2}$
  3. $a^{2}x^{2}+b^{2}y^{2}=r^{4}$
  4. $None\ of\ these$
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