WBJEE · Maths · Area Under Curves
The area of the figure bounded by the parabolas \(x=-2 y^{2}\) and \(x=1-3 y^{2}\) is
- A \(\frac{4}{3} \mathrm{sq}\) units
- B \(\frac{2}{3} \mathrm{sq}\) units
- C \(\frac{3}{7}\) sq units
- D \(\frac{6}{7}\) sq units
Answer & Solution
Correct Answer
(A) \(\frac{4}{3} \mathrm{sq}\) units
Step-by-step Solution
Detailed explanation
We have, \(x=-2 y^{2}\) \(\Rightarrow \quad y^{2}=-\frac{1}{2} x\) ...(i) and \(\quad x=1-3 y^{2}\) \(\Rightarrow y^{2}=-\frac{1}{3}(x-1)\) ...(ii) From Eqs. (i) and (ii),we get.…
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