MHT CET · Maths · Application of Derivatives
If the line \(\mathrm{a} x+\) by \(+\mathrm{c}=0\) is normal to the curve \(x \mathrm{y}=1\), then
- A \(a>0, \quad b>0\)
- B \(a>0, \quad b < 0\)
- C \(a < 0, \quad b \geqslant 0\)
- D \(a < 0, \quad b < 0\)
Answer & Solution
Correct Answer
(B) \(a>0, \quad b < 0\)
Step-by-step Solution
Detailed explanation
Curve: \(xy = 1 \implies y = x^{-1}\) Slope of tangent: \(\frac{dy}{dx} = -x^{-2} = -\frac{1}{x^2}\)
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