Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • The point on the straight line , which is nearest to the

The point on the straight line \mathrm{x+y=2}, which is nearest to the circle \mathrm{x^2+y^2-10x+2y+22}

 

Option: 1

(1, 1)


Option: 2

 (4, -2)

 


Option: 3

 (-2, 9)


Option: 4

(3, -1)

 


Answers (1)

best_answer

Shortest distance between 2 curves occurs along the common normal. Let required point be (t, 2 -t). Normal at this will be 

y –(2 –t) = (x –t), it should passes through centre of circle so 

–1 –2 + t = 5 –t ⇒ t = 4, so point can be (4, -2).

 

Posted by

vinayak

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

JEE Main 2026: NTA reopens Session 2 registration; apply by March 13 at jeemain.nta.nic.in
anam-khan

JEE Mains 2026 LIVE: NTA session 2 registration last day, city slip soon; here's how to prepare
anam-khan

JEE Main 2026 session 2 application correction begins on jeemain.nta.nic.in; edit details by tomorrow

Latest Question