4 Views

Question : If $x+y+z=0$, then what is the value of $\frac{\left (3y^{2}+x^{2}+z^{2} \right )}{\left (2y^{2}-xz \right)}$?

Option 1: $2$

Option 2: $1$

Option 3: $\frac{3}{2}$

Option 4: $\frac{5}{3}$


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: $2$


Solution : Given: $x+y+z=0$
Solution:
$\frac{(3y^{2}+x^{2}+z^{2})}{(2y^{2}-xz)}$
Since $x+y+z=0$, put $x = 1$, $y = –1$ , $z = 0$;
$=\frac{3+1}{2}= 2$
Hence, the correct answer is $2$.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
GRE ® Registrations 2024
Apply
Apply for GRE® Test now & save 10% with ApplyShop Gift Card | World's most used Admission Test for Graduate & Professional Schools
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books