HyperbolaHard
Question
The equations to the common tangents to the two hyperbolas 
= 1 and 
= 1 are -
= 1 and = 1 are -Options
A.y = ± x ± 
B.y = ± x ± (a2 - b2)
C.y = ± x ± 
D.y = ± x ± 
Solution
Equation of tangents to two hyperbolas are
y = mx ±
... (i)
y = mx ±
.......(ii)
Solving (i) & (ii) we get m = ± 1
∴ equation of common tangents is
y = ± x ±
y = mx ±
... (i)y = mx ±
.......(ii)Solving (i) & (ii) we get m = ± 1
∴ equation of common tangents is
y = ± x ±
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