TS EAMCET · Maths · Application of Derivatives
The side of an equilateral triangle is 5 units. In measuring the side, an error of 0.05 units is made. Then the percentage error in measuring the area of the triangle is
- A 2
- B 3
- C 4
- D 5
Answer & Solution
Correct Answer
(A) 2
Step-by-step Solution
Detailed explanation
Let \(A\) be the area and \(x\) be the side of an equilateral triangle. \[ \therefore \quad A=\frac{\sqrt{3}}{4} x^2 \] On differentiation \(\frac{d A}{d x}=\frac{\sqrt{3}}{4}(2 x)\)…
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