Home › AP EAPCET (Engineering) › Mathematics › Coordinate Geometry: Hyperbola › Find the foci of the hyperbola xy = 8.
Find the foci of the hyperbola xy = 8.
A(±2, ±2) same sign
B(±8, ±8) same sign
C(4, 4) and (−4, −4)
D(4, −4) and (−4, 4)
Answer & Solution
Correct answer: C. (4, 4) and (−4, −4)
For xy = c² with c² = 8, the foci are (c√2, c√2) and (−c√2, −c√2), i.e. (4, 4) and (−4, −4).
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