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AP EAMCET · Maths · Application of Derivatives

Find the equation of the normal to the curve \(y=\frac{(x-7)}{(x-2)(x-3)}\) at the point where it cuts the \(X\)-axis.

  1. A \(20 x+y+140=0\)
  2. B \(x-20 y-140=0\)
  3. C \(x+20 y+140=0\)
  4. D \(20 x+y-140=0\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(20 x+y-140=0\)

Step-by-step Solution

Detailed explanation

Given curve, \(y=\frac{(x-7)}{(x-2)(x-3)}\),cuts the \(x\)-axis at point \(P(7,0)\).…