Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • If PQ is double ordinate of the hyperbola   <img alt="\mathrm{\frac{x^2}{a^2}-\frac{y^2}{b^2}=1}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%5Cfrac%7Bx%5E2%7D%7Ba%5

If PQ is double ordinate of the hyperbola   \mathrm{\frac{x^2}{a^2}-\frac{y^2}{b^2}=1}   such

that OPQ is an equilateral triangle,O being the centre of the

hyperbola, then find minimum value of eccentricity (e) of the

hyperbola.

Option: 1

4/3


Option: 2

\mathrm{\frac{2}{\sqrt{3}}}


Option: 3

3/2


Option: 4

none of these


Answers (1)

Given asymptotes   \mathrm{5 x+12 y-7=0 \& 12 x-5 y+5=0}

are \mathrm{\perp}  to each other. Hence, given hyperbola is rectangular

and eccentricity of the rectangular hyperbola is \mathrm{\sqrt{2}}.

Posted by

Kshitij

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Latest Question