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Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

Let f(x)=(k-3) x^2-2 k x+3 k-6 where x R . If the range of f(x) is [0, ) , then the value of k can be:

Options

  1. A3 2
  2. B1
  3. C6
  4. D9

Correct answer

C. 6

Step-by-step solution

a>0 and D=0 k>3 and 4 k^2-4(3 k-6)(k-3)=0 k=6, 3 2 (rejected) k=6

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