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KVPY2016MathematicsParabola

Suppose the tangent to the parabola y=x²+p x+q at (0,3) has slope -1 . Then p+q equals

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

C. 2

Step-by-step solution

(0,3) lies on the curve So q =3 Now dy dx =2 x + p ; ( dy dx )_ (0,3) = p =-1 p + q =-1+3=2

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