The two conics bx 2 = y and x^ 2 a^ 2 - y^ 2 b^ 2 =1 intersect iff -

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

The two conics bx2 = y and\(\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1\) intersect iff -
  1. \(-\frac{1}{\sqrt{2}} \leq \mathrm{a} \leq \frac{1}{\sqrt{2}}\)
  2. \(a<-\frac{1}{\sqrt{2}}\)
  3. a < b

Answer

(A) - 1 2 a 1 2

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