JEE Previous Year Question

Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in sq. m) of the flower-bed, is :

Topic: JEE PYQ

Answer: C. Full step-by-step solution below.

  1. A12.5
  2. B10
  3. C25
  4. D30

Correct answer: C

Solution

(c)2r + λ = 20 ⇒ 2r + rθ = 20 ⇒ θ =
A = = . = r(10–r)
A = 10r –
= 10 – 2r = 0 ⇒ r = 5
∴ θ = = 2

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