COMEDK · Maths · 15. Hyperbola
The length of the latus rectum of a conic \(49 y^2-16 x^2=784\) is
- A \(\dfrac{7}{2}\)
- B \(\dfrac{49}{2}\)
- C \(\dfrac{49}{\sqrt{2}}\)
- D \(\dfrac{7}{\sqrt{2}}\)
Answer & Solution
Correct Answer
(B) \(\dfrac{49}{2}\)
Step-by-step Solution
Detailed explanation
The given equation of the conic is \(49y^2 - 16x^2 = 784\). Dividing both sides by \(784\), we get: \(\dfrac{49y^2}{784} - \dfrac{16x^2}{784} = 1\) \(\dfrac{y^2}{16} - \dfrac{x^2}{49} = 1\) This is the equation of a hyperbola of the form…
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