Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • If is the chord of contact of the hyperbola <img alt="\mathrm{x^{2}-y^{2}=9}" src="https://entr

If \mathrm{x=9} is the chord of contact of the hyperbola \mathrm{x^{2}-y^{2}=9}, then the equation of the corresponding pair of tangents is

Option: 1

\mathrm{9 x^{2}-8 y^{2}+18 x-9=0}


Option: 2

\mathrm{9 x^{2}-8 y^{2}-18 x+9=0}


Option: 3

\mathrm{9 x^{2}-8 y^{2}-18 x-9=0}


Option: 4

\mathrm{9 x^{2}-8 y^{2}+18 x+9=0}


Answers (1)

best_answer

\mathrm{x}=9 meets the hyperbola at (9,6 \sqrt{2}) and (9,-6 \sqrt{2})
.
The equation of tangents at these points are \mathrm{3 x-2 \sqrt{2} y-3=0}

and \mathrm{3 x+2 \sqrt{2} y-3=0}

The combined equation of these two is \mathrm{9 x^{2}-8 y^{2}-18 x+9=0}.

Posted by

jitender.kumar

View full answer

JEE Main high-scoring chapters and topics

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

Similar Questions

Trending Articles/News

anam-khan

JAC Chandigarh Counselling 2025: Round 1 seat allotment result out for BTech admissions
anam-khan

JoSAA round 5 seat allotment result 2025 out on josaa.nic.in
anam-khan

BTech aspirant from north-east or UT? Apply for CSAB NEUT counselling 2025 today

Latest Question