Question
Download Solution PDFFind the equation directrix of hyperbola , 3y2 - 2x2 = 12 .
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Equation of hyperbola ,
Eccentricity, e =
Directrix, x =
Equation of hyperbola ,
Eccentricity, e =
Directrix, y =
Calculation:
Given hyperbolic equation are , 3y2 - 2x2 = 12
⇒
On comparing with standard equation, a =
We know that eccentricity, e =
⇒ e =
⇒ e =
As we know that Directrix , y =
∴ Directrix, y =
⇒ Directrix, y =
The correct option is 4 .
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