Let the sum of the maximum and the minimum va | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

$ y=\frac{2 x^2-3 x+8}{2 x^2+3 x+8} $

$ x^2(2 y-2)+x(3 y+3)+8 y-8=0 $

$ 	ext { use } D \geq 0 $

$ (3 y+3)^2-4(2 y-2)(8 y-8) \geq 0 $

$ (1

Vedclass · Accepted Answer

$201$

Vedclass · Answer

$ y=\frac{2 x^2-3 x+8}{2 x^2+3 x+8} $

$ x^2(2 y-2)+x(3 y+3)+8 y-8=0 $

$ 	ext { use } D \geq 0 $

$ (3 y+3)^2-4(2 y-2)(8 y-8) \geq 0 $

$ (11 y-5)(5 y-11) \leq 0 $

$ \Rightarrow y \in\left[\frac{5}{11}, \frac{11}{5}ight] $

$ y=1$ is also included

Let the sum of the maximum and the minimum values of the function $f(x)=\frac{2 x^2-3 x+8}{2 x^2+3 x+8}$ be $\frac{m}{n}$, where $\operatorname{gcd}(\mathrm{m}, \mathrm{n})=1$. Then $\mathrm{m}+\mathrm{n}$ is equal to :

Similar Questions

The sum of all the solutions of the equation $(8)^{2 x}-16 \cdot(8)^x+48=0$ is :

If $x, y$ are real numbers such that $3^{(x / y)+1}-3^{(x / y)-1}=24$ then the value of $(x+y) /(x-y)$ is

If the sum of two of the roots of ${x^3} + p{x^2} + qx + r = 0$ is zero, then $pq =$

The number of solutions of the equation $\log _{(x+1)}\left(2 x^{2}+7 x+5\right)+\log _{(2 x+5)}(x+1)^{2}-4=0, x\,>\,0$, is $....$

Let $r_1, r_2, r_3$ be roots of equation $x^3 -2x^2 + 4x + 5074 = 0$, then the value of $(r_1 + 2)(r_2 + 2)(r_3 + 2)$ is