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TS EAMCET · Maths · Ellipse

The curve represented by \(\frac{x^2}{12-\alpha}+\frac{y^2}{\alpha-10}=1\) is

  1. A a hyperbola for some values of \(\alpha\) in \((10,12)\)
  2. B an ellipse for all values of \(\alpha\) in \((10,12)\)
  3. C a circle for some value of \(\alpha\) in \((10,12)\)
  4. D a hyperbola for all values of \(\alpha\) in \((10,12)\)
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Answer & Solution

Correct Answer

(C) a circle for some value of \(\alpha\) in \((10,12)\)

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