Let the locus of the centre |Area Under Curve |JEEMAIN 2021

JEE MAIN 2022

25-07-22 S1

Question

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 $L$. Then the area bounded by $L$ and the line $y=4$ is :

Select the correct option:

$\frac{32 \sqrt{2}}{3}$

$\frac{40 \sqrt{2}}{3}$

$\frac{64}{3}$

$\frac{32}{3}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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