AP EAMCET · Maths · Hyperbola
If one focus of a hyperbola is , the equation of its directrix is and its eccentricity , then the co-ordinates of its vertex is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Distance from focus to directrix is a-1e+e=a-45+54=9a20 Perpendicular distance of focus from directrix =4×3-3×0-342+32 ⇒9a20=95 ⇒a=4 The slope of the axis is -34, since the slope of the directrix is 43 Traveling along the axis, parametric equations of point…
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