Question

If the eccentricities of the hyperbolas  and  be eand e1, then 

Solution

Correct option is

1

 

, eccentricity = eb2 = a2(e2 – 1)

,

Eccentrity =       …. (2)

(1) + (2) 

SIMILAR QUESTIONS

Q1

 

The line P = x  become tangent to  if

 

Q2

The product of perpendicular drawn from any point on the hyperbola to its asymptotes is

Q3

 

The locus of the point of intersection of the lines 

, where m is a parameter, is always

Q4

The condition that the straight line lx + my = n may be a normal to the hyperbola b2x2 – a2y2 = a2b2 is

Q5

 

The locus rectum of the hyperbola

9x2 – 16y2 – 18x – 32y – 151 = 0 is

Q6

The eccentricity of the conjugate hyperbola of the hyperbola x2 – 3y2 = 1 is

Q7

The distance between the directrices of a rectangular hyperbola is 10 units, then distance between its foci is

Q8

The ,locus of the middle points of portions of the tangents to the hyperbola , intercepted between the axes is