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BITSAT2010MathematicsIndefinite IntegrationActual

The slope of the tangent to the hyperbola (2 x^2-3 y^2=6 ) at ((3,2) ) is

Options

  1. A-1
  2. B1
  3. C0
  4. D2

Correct answer

B. 1

Step-by-step solution

Differentiating the given equation of the curve ( aligned & 4 x-6 y ( dy / dx )=0 dy / dx =2 x / 3 y & ( dy dx )_ (3,2) = 2 3 3 2 =1 aligned )

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