Question

Let $f(x)$ be a biquadratic polynomial with leading coefficient unity such that $(x-1{)}^2$ is the factor of $f(x)-4$ and $(x-2{)}^2$ is the factor of $f(x)+2$.
Distance between tangents drawn to the curve $y=f(x)$ at $x=1$ and at $x=2$ is

• A. 2
• B. 4
• C. 6
• D. 10

Answer 1

Answer: (C)

Correct answer is (c) 6