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TS EAMCET · Maths · Hyperbola

If x2α+3+y22-α=1 represents a hyperbola, then α lies in

  1. A (-3, 2)
  2. B (-3, )
  3. C (-, -2)
  4. D (-, -3)(2, )
Verified Solution

Answer & Solution

Correct Answer

(D) (-, -3)(2, )

Step-by-step Solution

Detailed explanation

For x2α+3+y22-α=1 to represent a hyperbola α+32-α<0 ⇒α+3α-2>0 ⇒α∈-∞,-3∪2, ∞