CUET · MATHS · PYQ PAPER 2023
Area of the region bounded by ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) is:
- A \(\pi a b\) sq.units
- B \(a b\) sq.units
- C \(\pi a\) sq.units
- D \(\pi b\) sq.units
Answer & Solution
Correct Answer
(A) \(\pi a b\) sq.units
Step-by-step Solution
Detailed explanation
This can be derived by integrating \(4 \int_0^a \frac{b}{a} \sqrt{a^2-x^2} d x\), which results in \(\pi a b\) sq. units. Correct Option: (A) \(\pi a b\) sq. units
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