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JEE Main2013MathematicsApplication of DerivativesActual

If a curve passes through the point (2, 7 2 ) and has slope (1- 1 x^2 ) at any point (x, y) on it, then the ordinate of the point on the curve whose abscissa is -2 is :

Options

  1. A- 3 2
  2. B3 2
  3. C5 2
  4. D- 5 2

Correct answer

A. - 3 2

Step-by-step solution

aligned & Slope = d y d x =1- 1 x^2 & d y= (1- 1 x^2 ) d x & y=x+ 1 x + C , which is the equation of aligned the curve since curve passes through the point aligned & (2, 7 2 ) & 7 2 =2+ 1 2 +C C=1 & y=x+ 1 x +1 aligned when x=-2 , then y=-2+ 1 -2 +1= -3 2

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