WBJEE · Maths · Area Under Curves
The area of the region bounded by \(y^2=x\) and \(y=|x|\) is
- A \(\frac{1}{3}\) sq.unit
- B \(\frac{1}{6}\) sq.unit
- C \(\frac{2}{3}\) sq. unit
- D 1 sq.unit
Answer & Solution
Correct Answer
(B) \(\frac{1}{6}\) sq.unit
Step-by-step Solution
Detailed explanation
Hints: \(\mathrm{y}^2=\mathrm{x}\) \[ \left.\int_0^1(\sqrt{x}-x) d x=\frac{x^{\frac{3}{2}}}{\frac{3}{2}}-\frac{x^2}{2}\right]_0^1=\frac{3}{2}-\frac{1}{2}=\frac{4-3}{6}=\frac{1}{6} \]
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