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NDA2023MathematicsEllipseActual

Consider the following in respect of the equation x^2 24-k + y^2 k-16 =2 1. The equation represents an ellipse if k =19 . 2. The equation represents a hyperbola if k =12 3. The equation represents a circle if k=20 How many of the statements given above are correct?

Options

  1. AOnly one
  2. BOnly two
  3. CAll three
  4. DNone

Correct answer

C. All three

Step-by-step solution

Given the equation x^2 24-k + y^2 k-16 =2 If k=19 Given equation is ellipse. If k =12 Given equation is hyperbola If k =20 Given equation is circle

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