TS EAMCET · Maths · Application of Derivatives
If the error in measuring the side \(l\) of an equilateral triangle is 0.01 , then the percentage error in the area of the triangle, in terms of its side \(l\) is
- A \(\frac{2}{1}\)
- B \(\frac{3}{1}\)
- C \(\frac{4}{1}\)
- D \(\frac{6}{1}\)
Answer & Solution
Correct Answer
(A) \(\frac{2}{1}\)
Step-by-step Solution
Detailed explanation
Given, \[ d l=0.01 \] Area of equilateral triangle i.e. \[ A=\frac{\sqrt{3}}{4} l^2 \] \(\Rightarrow \quad \frac{d A}{d l}=\frac{\sqrt{3}}{2} l\)…
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