TS EAMCET · Maths · Area Under Curves
The area (in square units) bounded by the curves \(y^2=4 x\) and \(x^2=4 y\) in the plane is
- A \(\frac{8}{3}\)
- B \(\frac{16}{3}\)
- C \(\frac{32}{3}\)
- D \(\frac{64}{3}\)
Answer & Solution
Correct Answer
(A) \(\frac{8}{3}\)
Step-by-step Solution
Detailed explanation
Given curves are \(y^2=4 x\) ...(i) \(x^2=4 y\) ...(ii) The intersecting points of Eqs. (i) and (ii) are \((0,0)\) and \((4,4)\) \(\therefore\) Required area \(=\) Area of shaded portion \(O A B C\)…
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