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JEE Main 2017

JEE Main 2017 Mathematics question on Application of Derivatives

The normal to the curve y(x−2)(x−3)=x+6y(x-2)(x-3) = x + 6 at the point, where the curve intersects the Y-axis passes through the point
  1. A.
    (−12,−12)\left(-\dfrac{1}{2}, -\dfrac{1}{2}\right)
  2. B.
    (12,12)\left(\dfrac{1}{2}, \dfrac{1}{2}\right)
  3. C.
    (12,−13)\left(\dfrac{1}{2}, -\dfrac{1}{3}\right)
  4. D.
    (12,13)\left(\dfrac{1}{2}, \dfrac{1}{3}\right)
Show answer

Correct option: B

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