Let the locus of the centre (α, β), β>0, of the circle which touches the circle x²+(y-1)²=1 externally and also touches the x -axis be L. Then the area bounded by L and the line y=4 is:

Integral Calculus: JEE Main 2022 Mathematics question

JEE Main 2022 · 25 Jul, Morning shift · Q2845

JEE Main 202225 Jul, Morning shiftMathematicsHardIntegral Calculus369× since 2002

Let the locus of the centre

(\alpha, \beta), \beta>0

, of the circle which touches the circle

x^{2}+(y-1)^{2}=1

externally and also touches the

x

-axis be

\mathrm{L}

. Then the area bounded by

\mathrm{L}

and the line

y=4

is: