Number of real solution(s) of equation x^2+3 x+2=min {|x-3|,|x+2|} is:

English

Gujarati

Hindi

4-2.Quadratic Equations and Inequations

hard

The number of real solution(s) of the equation $x^2+3 x+2=\min \{|x-3|,|x+2|\}$ is:

A$2$

B$0$

C$3$

D$1$

(JEE MAIN-2025)

Solution

image
Only $2$ solutions

Standard 11

Mathematics

Share

Similar Questions

If the roots of ${x^2} + x + a = 0$exceed $a$, then

easy

Let $f: R -\{0\} \rightarrow(-\infty, 1)$ be a polynomial of degree $2$ , satisfying $f( x ) f\left(\frac{1}{ x }\right)=f( x )+f\left(\frac{1}{ x }\right)$. If $f(K)=-2 K$, then the sum of squares of all possible values of $K$ is :

hard

(JEE MAIN-2025)

The number of integers $k$ for which the equation $x^3-27 x+k=0$ has at least two distinct integer roots is

normal

(KVPY-2016)

Let $a$ , $b$ , $c$ are roots of equation $x^3 + 8x + 1 = 0$ ,then the value of

$\frac{{bc}}{{(8b + 1)(8c + 1)}} + \frac{{ac}}{{(8a + 1)(8c + 1)}} + \frac{{ab}}{{(8a + 1)(8b + 1)}}$ is equal to

normal

If the inequality $kx^2 -2x + k \geq 0$ holds good for atleast one real $'x'$ , then the complete set of values of $'k'$ is

normal