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JEE MATHEMATICS MCQ: ERRORS & APPROXIMATION

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Application +4 | -1
The area of a triangle is computed using the formula S=12bcsin⁡AS=\frac{1}{2} b c \sin A. If the relative errors made in measuring b,cb, c and calculating SS are respectively 0.02,0.010.02,0.01 and 0.130.13 the approximate error in AA when A=π/6A=\pi / 6, is
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Correct option: A
0.050.05 radians
Option A (0.05 radians) is correct because it represents the approximate error in angle A, calculated using the given relative errors.

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