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Last Updated On [03-11-2023]

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 :-

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
5876 Votes
3537

Answer Key : (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,



Next Question :

If two chords drawn from the point (4, 4) to the parabola  are bisected by line  the interval in which lies is

a)

b)

c)

d)

None of these


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