CUET · MATHS · PYQ PAPER 2025
The area (in square units) of the region enclosed between the lines \(x+y=2, x=0, x=3\) and \(x\) - axis is equal to
- A \(\frac{6}{7}\)
- B \(\frac{7}{12}\)
- C \(\frac{5}{2}\)
- D 7
Answer & Solution
Correct Answer
(C) \(\frac{5}{2}\)
Step-by-step Solution
Detailed explanation
Area \( = \int_0^2 (2-x) \,dx + \left| \int_2^3 (2-x) \,dx \right| \) \( = \left[ 2x - \frac{x^2}{2} \right]_0^2 + \left| \left[ 2x - \frac{x^2}{2} \right]_2^3 \right| \) \( = (4 - 2) + \left| (6 - \frac{9}{2}) - (4 - 2) \right| \) \( = 2 + \left| \frac{3}{2} - 2 \right| \)…
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