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MHT CET Maths Model Test 04 — MHT - CET STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMHT - CETMHT CET Maths Model Test 041 Mark
MCQ
Let f(x) be a non-negative continuous function such that the area bounded by the curve y = f(x), X-axis and the ordinates x = `pi/4` and x = `beta > pi/4` is `(beta sin beta + pi/4 cos beta + sqrt(2)beta)`. Then `"f"(pi/2)` is ______.
  • A
    `pi/4 + sqrt(2) - 1`
  • B
    `pi/4 - sqrt(2) + 1`
  • C
    `1 - pi/4 - sqrt(2)`
  • ✓
    `1 - pi/4 + sqrt(2)`
✓

Answer

Correct option: D.
`1 - pi/4 + sqrt(2)`
D

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