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Question:

If the area (in sq. units) bounded by the parabola y²=4λx and the line y=λx, λ>0, is 19, then λ is equal to

24

48

43

26

Solution:

Correct option is A. 24
Area = 19 = ∫₀⁴⁄λ(√(4λx) - λx)dx ⇒ λ = 24.