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If a variable line has its intercepts on the coordinate axes  where are the eccentricities of a hyperbola and its conjugate hyperbola, then the line always touches the circle , where

a)

1

b)

2

c)

3

d)

cannot be decided 



Question ID - 55844 | SaraNextGen Top Answer

If a variable line has its intercepts on the coordinate axes  where are the eccentricities of a hyperbola and its conjugate hyperbola, then the line always touches the circle , where

a)

1

b)

2

c)

3

d)

cannot be decided 

1 Answer
127 votes
Answer Key / Explanation : (b) -

(b)

Since and  are eccentricities of a hyperbola and its conjugate hyperbola, therefore

The line passing through the points  and  is

It is tangents to the circle

Hence,

127 votes


127