﻿ If θ is the angle between the asymptotes of the hyperbola   with eccentricity e, then  : Kaysons Education

If θ Is The Angle Between The Asymptotes Of The Hyperbola   with Eccentricity e, Then

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Question

Solution

Correct option is

e

Now eliminate θ and use b2 = a2 (e2 – 1).

SIMILAR QUESTIONS

Q1

The line 3x + 2y + 1 = 0 meets the hyperbola 4x2 – y2 = 4a2 in the points P and Q. The coordinates of point intersection of the tangents at and Qare

Q2

The eccentricity of the hyperbola whose latus rectum is half of its transverse axis is

Q3

The number of tangents to the hyperbola  through (4, 3) is

Q4

The equation of the hyperbola referred to it axes as axes of coordinates whose latus rectum is 4 and eccentricity is 3, is

Q5

If a rectangular hyperbola whose center is C, is cut by any circle of radiusr in the four points P, Q, R, S, then

CP2 + CQ2 + CR2 + CS2 =

Q6

If the two lines x – a = 0 and y – b =  0 are conjugate w.r.t. the hyperbolaxy = c2, then the locus of (a, b) is

Q7

The equation of the tangents to the conic 3x2 – y2 = 3 perpendicular to the line x + 3y = 2 is

Q8

If P is a point on the hyperbola 16x– 9y2 = 144 whose foci are S1 andS2, then PS1 – PS2 =

Q9

The length of the transverse axis of a hyperbola is 7 and it passes through the point (5, –2). The equation of the hyperbola is

Q10

The locus of the point of intersection of the lines (x + y)t = a and x – y = at, where t is the parameter, is