Question

Match the foci, centre, transverse axis, conjugate axis and vertices of hyperbola given in Column I with their corresponding meaning given in Column II and choose the correct option from the codes given below.

Column I		Column II
A	Foci	1	Mid-point of the line segment joining the foci.
B	Centre	2	Points at which the hyperbola intersects the transverse axis.
C	Transverse axis	3	Line through the foci.
D	Conjugate axis	4	Two fixed points.
E	Vertices	5	Line through the centre and perpendicular to the transverse axis.

• A. A= 4 ,B= 3 ,C= 1 ,D= 5 ,E= 2
• B. A=1 ,B=4 ,C= 3 ,D=5 ,E=2
• C. A=4 ,B=1 ,C= 5 ,D=3 ,E=2
• D. A=4,B= 1 ,C= 3 ,D=5 ,E= 2

Answer 1

Answer: (D)

The two fixed points are called the foci of the hyperbola. The mid-point of the line segment joining the foci is called the centre of the hyperbola. The line through the foci is called the transverse axis and the line through the centre and perpendicular to the transverse axis is called the conjugate axis. The points at which the hyperbola intersects the transverse axis are called the vertices of the hyperbola.