HyperbolaHard
Question
Let P(6, 3) be a point on the hyperbola
. If the normal at the point P intersects the x-axis at (9, 0), then the eccentricity of the hyperbola is
. If the normal at the point P intersects the x-axis at (9, 0), then the eccentricity of the hyperbola is Options
A.

B.

C.√2
D.√3
Solution
Equation of normal is (y - 3) =
(x - 6) ⇒
= 1 ⇒ e = 
(x - 6) ⇒
= 1 ⇒ e = 
Create a free account to view solution
View Solution FreeMore Hyperbola Questions
Area of triangle formed by tangent to the hyperbola xy = 16 at (16, 1) and co-ordinate axes equals -...The equation of the common tangent to the parabola y2 = 8x and the hyperbola 3x2 - y2 = 3 is -...Let $P(10,2\sqrt{15})$ be a point on the hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$, whose foci are $S$ a...If m is a variable, the locus of the point of intersection of the lines = m and = is a/ an-...The product of the lengths of the perpendiculars drawn from foci on any tangent to the hyperbola = 1 is -...