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KVPY2012MathematicsQuadratic Equation

Let f ( x ) be a quadratic polynomial with f (2)=10 and f (2)=-2 . Then the coefficient of x in f ( x ) is-

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

C. 3

Step-by-step solution

say f ( x )= ax ²+ bx + c f(x)=a x²+b x+cf(2)=4 a+2 b+c=10f(-2)=4 a-2 b+c=-2 4 ~b =12 b =3

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