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If two tangents can be drawn the differe...

If two tangents can be drawn the different branches of hyperbola `(x^(2))/(1)-(y^(2))/(4) =1` from `(alpha, alpha^(2))`, then

A

`alpha in (-2,0)`

B

`alpha in (0,2)`

C

`alpha in (-oo,-2)`

D

`alpha in(2,oo)`

Text Solution

Verified by Experts

The correct Answer is:
C, D
`(alpha, alpha)^(2)` must lie between the asymptotes of hyperbola `(x^(2))/(1)-(y^(2))/(4) =1` in I and II quadrant. Asymptotes are `y = +- 2x rArr 2alpha lt alpha^(2) rArr alpha 0` or `alpha gt 2`. and `-2alpha lt alpha^(2) rArr alpha lt -2` or `alpha gt 0 rArr alpha in (-oo,-2) uu(2,oo)`
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