CUET · MATHS · PYQ PAPER 2025
Consider the region bounded by the lines \(y-1=x, x=-2, x=3\) and \(x\)-axis. Then,
(A) The area of the bounded region is given by \(\int_{-2}^3(x+1) d x\)
(B) The numerical value of the area is \(\frac{15}{2}\) sq. units
(C) The numerical value of the area is 8 sq . units
(D) The numerical value of the area is \(\frac{17}{2}\) sq. units
Choose the correct answer from the options given below:
- A \((A)\) and \((B)\) only
- B \((A)\) and \((C)\) only
- C \((C)\) and \((D)\) only
- D \((D)\) only
Answer & Solution
Correct Answer
(D) \((D)\) only
Step-by-step Solution
Detailed explanation
The region is bounded by \(y = x+1\), \(x=-2\), \(x=3\) and the \(x\)-axis. The line \(y=x+1\) crosses the \(x\)-axis at \(x=-1\). Area \(A = \int_{-2}^{3} |x+1| dx\) \(A = \int_{-2}^{-1} -(x+1) dx + \int_{-1}^{3} (x+1) dx\)…
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