TS EAMCET · Maths · Area Under Curves
The area (in sq units) bounded by the curves \(x=-2 y^2\) and \(x=1-3 y^2\) is
- A \(\frac{2}{3}\)
- B \(1\)
- C \(\frac{2}{3}\)
- D \(\frac{2}{3}\)
Answer & Solution
Correct Answer
(C) \(\frac{2}{3}\)
Step-by-step Solution
Detailed explanation
Given curves, \[ \text { and } \quad \begin{aligned} & x=-2 y^2 \\ & x=1-3 y^2 \end{aligned} \] On solving both curves, we get \[ \begin{gathered} -2 y^2=1-3 y^2 \\ \Rightarrow \quad y= \pm 1 \text { and } x=-2 \end{gathered} \] So, the intersection points are \((-2,1)\) and…
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