COMEDK · Maths · 31. Area Under Curves
\(\text { The area of the region enclosed by the curve }\left\{(x, y): 4 x^2+25 y^2=100\right\} \text { is }\)
- A \(9 \pi\) sq units
- B \(10 \pi\) sq units
- C \(\dfrac{9 \pi}{5} \text { sq units }\)
- D \(\dfrac{16 \pi}{3} \text { sq units }\)
Answer & Solution
Correct Answer
(B) \(10 \pi\) sq units
Step-by-step Solution
Detailed explanation
The given equation is \(4x^2 + 25y^2 = 100\). Dividing both sides by \(100\), we get \(\dfrac{4x^2}{100} + \dfrac{25y^2}{100} = 1\), which simplifies to \(\dfrac{x^2}{25} + \dfrac{y^2}{4} = 1\). This is the standard equation of an ellipse…
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