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AP EAMCET · Maths · Area Under Curves

The area (in sq. units) bounded by \(x^2=y, y=x+2\) and the \(\mathrm{X}\)-axis is

  1. A \(\frac{2}{3}\)
  2. B \(\frac{3}{5}\)
  3. C \(\frac{5}{6}\)
  4. D \(\frac{4}{5}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{5}{6}\)

Step-by-step Solution

Detailed explanation

Indicate the region bounded by the curves \(x^2=y, y=x+2\) and \(X\)-axis and obtain the area enclosed by them. The parabola and line meet in points \(P(-1,1)\) and \(Q(2,4)\). The line cuts the axes in \((-2,0)\) and \(B(0,2)\). Here, we have to find the area bounded by the…