Question

If area of the region bounded by y ≥ cot( cot^–1|In|e^|x|) and x² + y² – 6 |x| – 6|y| + 9 ≤ 0, is λπ, then λ is ______.

Options

• 6.00

• 7.00

• 8.00

• 9.00

Answer 1

If area of the region bounded by y ≥ cot( cot^–1|In|e^|x|) and x² + y² – 6 |x| – 6|y| + 9 ≤ 0, is λπ, then λ is 9.00.

Explanation:

y ≥ |x|

(|x| – 3)² + (|y| – 3)² ≤ 9

⇒ full circle

⇒ Area = 9π

k = 9