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Question

If two tangents can be drawn to the different branches of hyperbola
x21y24=1 from the paint (α,α2),        then 


A

 
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B
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C

 
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D
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Solution

The correct option is C
 
Given that,
 x21y24=1 




Since, (α,α2) lie on the parabola y=x2, then (α,α2) must lie between the asymptotes of hyperbola  x21y24=1 in 1st and 2nd quadrants.
 So, the asymptotes are y=±2x
            2α<α2
    α<0orα>2 and 2α<α2      
 α<2or2α<0
    αϵ(,2)or(2,)

Mathematics

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