Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Let  is a quadratic polynomial such that <img alt="f(-1) + f(-2) = 0" src="http://entrancecorner.codecogs.com/gif.latex?f%28-1%29%20&plus;%20f%28-2%29%20%3

Let f(x) is a quadratic polynomial such that f(-1) + f(-2) = 0 If the roots of f(x) = 0 is 3, then the other root lies in: 
Option: 1 (-3,-1)
Option: 2  (0,2)
Option: 3 (1,3)  
Option: 4 (-1,0)

Answers (1)

best_answer

\\ f(x)=a(x-3)(x-\alpha) \\\\ f(2)=a(\alpha-2) \\\\ f(-1)=4 a(1+\alpha)\\ \\ f(-1)+f(2)=0 \Rightarrow a(\alpha-2+4+4 a)=0 \\\\ a \neq 0 \Rightarrow 5 \alpha=-2 \\\\ \alpha=\frac{2}{5}=-0.4 \\\\ \alpha \in(-1,0)

Posted by

Suraj Bhandari

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

BTech aspirant from north-east or UT? Apply for CSAB NEUT counselling 2025 today
anam-khan

JoSAA round 2 cut-off 2025 out; BTech closing ranks for top engineering courses at IITs
anam-khan

Goa Engineering Admission 2025: 1,415 eligible for BE seats; merit list on June 27

Latest Question