1. Tardigrade
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  3. Mathematics
  4. 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

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Q. 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

Application of Derivatives

Solution:

Correct answer is (c) 6