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TS EAMCET · Maths · Quadratic Equation

fx=ax2-bx-a is a quadratic expression. If K is the least real number such that fxK,  xR, then

  1. A K=0
  2. B K<-2
  3. C K>0
  4. D -1<K<0
Verified Solution

Answer & Solution

Correct Answer

(C) K>0

Step-by-step Solution

Detailed explanation

We are given that fx=ax2-bx-a is a quadratic expression, such that fx≤k, ∀x∈R. Hence, we have ax2-bx-a≤K ⇒ax2-bx-a+K≤0 We know that, a quadratic expression Ax2+Bx+C=0 is always negative, if A<0, B2-4AC≤0. Hence,…