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Area Under the Curves question

2022 · 25 Jul · Shift 1 · Q33
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  5. /2022 · 25 Jul · Shift 1 · Q33

Area Under the Curves question

2022 · 25 Jul · Shift 1 · Q33

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1
Let the locus of the centre (α,β),β>0(\alpha, \beta), \beta\gt 0(α,β),β>0, of the circle which touches the circle x2+(y−1)2=1x^{2}+(y-1)^{2}=1x2+(y−1)2=1 externally and also touches the xxx-axis be L\mathrm{L}L. Then the area bounded by L\mathrm{L}L and the line y=4y=4y=4 is:
  1. A
    3223\frac{32 \sqrt{2}}{3}3322​​
  2. B
    4023\frac{40 \sqrt{2}}{3}3402​​
  3. C
    643\frac{64}{3}364​
  4. D
    323\frac{32}{3}332​
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