HyperbolaMedium
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 ±
Create a free account to view solution
View Solution FreeMore Hyperbola Questions
With one focus of the hyperbola $\frac{x^{2}}{9} - \frac{y^{2}}{16} = 1$ as the centre, a circle is drawn which is tange...The value of m for which y = mx + 6 is a tangent to the hyperbola = 1 is-...Number of common tangents with finite slope to the curves $xy = c^{2}$ and $y^{2} = 4ax$ is:...Locus of the middle point of the parallel chords with gradient $m$ of the rectangular hyperbola $xy = c^{2}$ is :...-If the straight line x cos α + y sin α = p be a tangent to the hyperbola = 1, then-...