Home › AP EAPCET (Engineering) › Mathematics › Coordinate Geometry: Hyperbola › A hyperbola's latus rectum is half its transvers…
A hyperbola's latus rectum is half its transverse axis. Its eccentricity is
A3/2
B√(5/2)
C√3
D√(3/2)
Answer & Solution
Correct answer: D. √(3/2)
2b²/a = a gives b² = a²/2, so e² = 1 + 1/2 = 3/2.
Related questions
A particle with total energy greater than zero moves under an inverse square attraction. IThe midpoints of a family of parallel chords of a hyperbola lie on aThe eccentricity e of any hyperbola satisfiesThe locus of a point whose distances from two fixed points differ by a constant is aA general point on the hyperbola x²/a² − y²/b² = 1 in parametric form isThe tangents of slope 2 to the hyperbola x²/9 − y²/16 = 1 areThe line y = mx + c touches the hyperbola x²/a² − y²/b² = 1 only ifThe tangent to x²/a² − y²/b² = 1 at the point (x1, y1) has equation