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JEE Mains · Maths · STD 12 - 8. Application and integration

પ્રદેશ \(\{(x, y):|x-y| \leq y \leq 4 \sqrt{x}\}\) નું ક્ષેત્રફળ ___ છે.

  1. A \(512\)
  2. B \(\frac{1024}{3}\)
  3. C \(\frac{512}{3}\)
  4. D \(\frac{2048}{3}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{1024}{3}\)

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & |x-y| \leq y \leq 4 \sqrt{x} \\ & \text { Now } y=|x-y| \\ & y^2=(x-y)^2 \\ & \Rightarrow y=\frac{x}{2} \text { and } x=0\end{aligned}\)…
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