Tangent of a given slope to an ellipse or a hyperbola: its equation, its intercepts or the triangle it cuts off with the axes

1. A.
   $\frac{- 10}{3},\frac{- 5}{3}$
2. B.
   $\frac{10}{3},\frac{- 5}{2}$
3. C.
   $\frac{10}{3},\frac{5}{2}$
4. D.
   $\frac{10}{3},\frac{5}{3}$

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1. A.
   $\frac{25}{2}$ sq. units
2. B.
   25 sq. units
3. C.
   $\frac{25\sqrt{5}}{2}$ sq. units
4. D.
   $25\sqrt{5}$ sq. units

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1. A.
   $x + \sqrt{3}y \pm \sqrt{43} = 0$
2. B.
   $x - \sqrt{3}y \pm \sqrt{43} = 0$
3. C.
   $\sqrt{3}x - y \pm \sqrt{43} = 0$
4. D.
   $x - \sqrt{3}y \pm \sqrt{3} = 0$

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1. A.
   $4$ sq. units
2. B.
   $8$ sq. units
3. C.
   $12$ sq. units
4. D.
   $16$ sq. units

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