Home › AP EAPCET (Engineering) › Mathematics › Coordinate Geometry: Hyperbola › Which equation has e = 2 and foci 4 units either…
Which equation has e = 2 and foci 4 units either side of the centre, on the x-axis?
Ax²/16 − y²/12 = 1
Bx²/12 − y²/4 = 1
Cx²/4 − y²/16 = 1
Dx²/4 − y²/12 = 1
Answer & Solution
Correct answer: D. x²/4 − y²/12 = 1
ae = 4 gives a = 2, and b² = 4(4 − 1) = 12.
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