TS EAMCET · Maths · Application of Derivatives
If the line \(y=-4 x+b\) is tangent to the curve \(y=\frac{1}{x}\), then \(b\) equals
- A \pm 4
- B \pm 2
- C \pm 1
- D \pm 8
Answer & Solution
Correct Answer
(A) \pm 4
Step-by-step Solution
Detailed explanation
The slope of line \(y=-4 x+b\) is \(m=-4\). Also, slope of tangent of the curve \(y=\frac{1}{x}\) is given by \(\frac{d y}{d x}=\frac{-1}{x^2}\). Since, given line is tangent to the curve.…
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