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Question : 117 of 150
Marks:
+1,
-0
Solution:
The given Hyperbola is
− = 1 or
− - 1 = 0
Then any point
P(x1,y1) will lie inside, on or the outside of the hyperbola
− = 1
depending upon the value of
(−−1) If the value of
− - 1 > 0 then point
P(x1,y1) lies inside of the hyperbola
If the value of
− - 1 = 0 then point
P(x1,y1) lies on the periphery of the hyperbola
If the value of
− - 1 < 0 then point
P(x1,y1) lies outside of the hyperbola
Now let the value of the term
- 1 at given point (2 , - 3) is
(−−1)(2,−3) Then
(−−1)(2,−3) =
−−1 ⇒
=
< 0
As value of term
−−1 at point P (2 , - 3) is less than 0.
Hence the point lies outside of the hyperbola
So correct option is B
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