Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
Let $\mathrm{f}(\mathrm{x})$ be a quadratic polynomial with $\mathrm{f}(2)=10$ and $\mathrm{f}(2)=-2$. Then the coefficient of $\mathrm{x}$ in $\mathrm{f}(\mathrm{x})$ is-
MathematicsQuadratic EquationKVPYKVPY 2012 (SA)
Options:
  • A 1
  • B 2
  • C 3
  • D 4
Solution:
1076 Upvotes Verified Answer
The correct answer is: 3
say $\mathrm{f}(\mathrm{x})=\mathrm{ax}^{2}+\mathrm{bx}+\mathrm{c}$
$f(x)=a x^{2}+b x+c$ $f(2)=4 a+2 b+c=10$ $f(-2)=4 a-2 b+c=-2$
$\Rightarrow 4 \mathrm{~b}=12$
$\mathrm{b}=3$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.