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JEE Main202622 January 2026Morning ShiftMathematicsHyperbolaActual

If the line x+2 y=1 , where R , does not meet the hyperbola x²-9 y²=9 , then a possible value of is:

Options

  1. A0.5
  2. B0.6
  3. C0.7
  4. D0.8

Correct answer

D. 0.8

Step-by-step solution

Hyperbola: x^2 9 - y^2 = 1 . Line: y = 1 - x 2 . Substituting: x^2 - 9 (1- x)^2 4 = 9 (4 - 9 ^2)x^2 + 18 x - 45 = 0 . For no intersection (when 4 - 9 ^2 0 ): discriminant D = 324 ^2 + 180(4 - 9 ^2) -1296 ^2 + 720 5 9 . | | > 5 3 0.745 . Among the options, only = 0.8 satisfies this condition.

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