AP EAMCET · Maths · Functions
For \(x \in R\), the least value of \(\frac{x^2-6 x+5}{x^2+2 x+1}\) is
- A -1
- B \(-\frac{1}{2}\)
- C \(-\frac{1}{4}\)
- D \(-\frac{1}{3}\)
Answer & Solution
Correct Answer
(D) \(-\frac{1}{3}\)
Step-by-step Solution
Detailed explanation
Let \(f(x)=\frac{x^2-6 x+5}{x^2+2 x+1}\) for \(x \in R\) Let \(\quad y=\frac{x^2-6 x+5}{x^2+2 x+1}\) \(y x^2+2 y x+y=x^2-6 x+5\) \((y-1) x^2+(2 y+6) x+(y-5)=0\) \(x=\frac{-2(y+3)+\sqrt{4(y+3)^2-4(y-1)(y-5)}}{2 \times(y-1)}\) Since, \(x\) is real. Then, its discriminant should be…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The solution of the equation \(\sin ^{-1} x+\sin ^{-1} 2 x=\frac{\pi}{3}\) isAP EAMCET 2019 Easy
- If is the greatest integers function defined on as and is the modulus function defined on as , then the value of isAP EAMCET 2021 Medium
- If and throw two dice times each simultaneously, then the probability that both of them will get even number as the total score at the same time in all the throws isAP EAMCET 2019 Easy
- The area (in sq units) bounded by the curves
\(y^2=4 x\) and \(x^2=4 y\) isAP EAMCET 2012 Easy - If \(\alpha, \beta\) are the roots of \(a x^2+b x+c=0\), then the quadratic equation whose roots are \(\sqrt{5} \alpha, \sqrt{5} \beta\) isAP EAMCET 2022 Easy
- The number of common tangents to the circles \(x^2+y^2-4 x-2 y+k=0\) and \(x^2+y^2-6 x-4 y+l=0\), having radii 2 and 3 respectively, isAP EAMCET 2018 Easy
More PYQs from AP EAMCET
- Tom and Jerry play a game of alternately throwing an unfair coin. First one to get head wins. If Tom starts the game, he has chance of winning the game. Suppose this coin is tossed times, then the probability of getting exactly heads isAP EAMCET 2021 Hard
- The dimensions of stress isAP EAMCET 2021 Easy
- If \(\triangle \mathrm{ABC}\) is a right angled isosceles triangle and \(\angle \mathrm{C}=90^{\circ}\), then \(\mathrm{r}: \mathrm{r}_3=\)AP EAMCET 2023 Medium
- Match the following:
The correct answer isAP EAMCET 2024 Easy - A bimetallic strip is formed out of two identical strips, one of copper and the other of brass. The coefficients of linear expansion of the two metals are \(\alpha_C\) and \(\alpha_B\). On heating, the temperature of the strip increases by \(\Delta T\) and the strip bends to form an arc of radius \(R\). Then \(R\) is proportional toAP EAMCET 2010 Medium
- If the variance of the first n natural numbers is 10 and the variance of the first m even natural numbers is 16, then \(\mathrm{n}: \mathrm{m}=\)AP EAMCET 2025 Medium