Let ( m , n are co-prime natural numbers) be a solution of the equation (2 ^ -1 x )= 1 9…

Mathematics · JEE Main · NTA ExamsTrigonometry

Let (m, n are co-prime natural numbers) be a solution of the equation \(\cos \left(2 \sin ^{-1} x\right)=\frac{1}{9}\) and let a, b  be the roots of the equation mx2nxm + n = 0. Then the pointlies on the line
  1. 3x – 2y = –2
  2. 5x – 8y = –9
  3. 3x + 2y = 2
  4. 5x + 8y = 9

Answer

(D) 5 x + 8 y = 9

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