TS EAMCET · Maths · Quadratic Equation
Let \(f(x)\) be a quadratic expression such that \(f(0)+f(1)=0\). If \(f(-2)=0\), then
- A \(f\left(\frac{-2}{5}\right)=0\)
- B \(f\left(\frac{2}{5}\right)=0\)
- C \(f\left(\frac{-3}{5}\right)=0\)
- D \(f\left(\frac{3}{5}\right)=0\)
Answer & Solution
Correct Answer
(D) \(f\left(\frac{3}{5}\right)=0\)
Step-by-step Solution
Detailed explanation
We have, \(f(x)\) is a quadratic equation. \[ \begin{array}{rlrl} & \therefore \quad f(x)=a x^2+b x+c \\ & f(0) & =c, f(1)=a+b+c \\ & & f(0)+f(1) & =0 \\ \Rightarrow & c+a+b+c & =0 \\ \Rightarrow \quad & a+b+2 c & =0 \end{array} \]…
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