WBJEE · Maths · Ellipse
The length of the latus rectum of the ellipse \(16 x^2+25 y^2=400\) is
- A \(5 / 16\) unit
- B \(32 / 5\) unit
- C \(16 / 5\) unit
- D \(5 / 32\) unit
Answer & Solution
Correct Answer
(B) \(32 / 5\) unit
Step-by-step Solution
Detailed explanation
Hints : Length of latus rectum \(=2 \frac{b^2}{a}=\frac{2 \times 16}{5}=\frac{32}{5}\) \(\begin{aligned} & 16 x^2+25 y^2=400 \\ & \frac{x^2}{25}+\frac{y^2}{16}=1 \\ & a^2=25 ; b^2=16 \end{aligned}\)
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