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WBJEE · Maths · Application of Derivatives

The co-ordinates of the point on the curve \(y=x^2-3 x+2\) where the tangent is perpendicular to the straight line \(y=x\) are

  1. A \((0,2)\)
  2. B \((1,0)\)
  3. C \((-1,6)\)
  4. D \((2,-2)\)
Verified Solution

Answer & Solution

Correct Answer

(B) \((1,0)\)

Step-by-step Solution

Detailed explanation

Hints: \(y=x^2-3 x+2\) \(\frac{d y}{d x}=2 x-3=-1 \Rightarrow x=1\) at \(x=1, y=0\) \(\therefore\) Point is \((1,0)\)