AP EAMCET · Maths · Hyperbola
If the focal chord of the hyperbola subtends a right angle at the center, then its eccentricity is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
DTP REQUIRED... eccentricity of hyperbola=1+b2a2 Distance AB=x2-x12+y2-y12 ⇒ae-ae2+-b2a-b2a2 ⇒4b4a2=2b2a Now, tan 45°=b2a 1=b2aae ⇒e=b2a2 Now, e=1+b2a2 e2=1+b2a2 ⇒b2a2=e2-1 e=e2-1 ⇒e2-e-1=0 Which is quadratic equation compare it…
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