KCET · Maths · Application of Derivatives
The tangent to a given curve \(y=f(x)\) is perpendicular to the \(x\)-axis, if
- A \(\frac{d y}{d x}=1\)
- B \(\frac{\mathrm{dx}}{\mathrm{dy}}=0\)
- C \(\frac{\mathrm{dx}}{\mathrm{dy}}=1\)
- D \(\frac{d y}{d x}=0\)
Answer & Solution
Correct Answer
(B) \(\frac{\mathrm{dx}}{\mathrm{dy}}=0\)
Step-by-step Solution
Detailed explanation
If any tangent is perpendicular to \(x\)-axis, then
\[
\frac{\mathrm{dx}}{\mathrm{dy}}=0 \text {. }
\]
\[
\frac{\mathrm{dx}}{\mathrm{dy}}=0 \text {. }
\]
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