Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • The points on the line x=2 from which the tangents drawn to the circle <img alt="\mathrm{x^2+y^2=16}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7Bx%5E2&plus;y%5E2%3D16

The points on the line x=2 from which the tangents drawn to the circle \mathrm{x^2+y^2=16} are at right angle is 

Option: 1

(2,2 \sqrt{7})


Option: 2

(2,2 \sqrt{5})


Option: 3

(2,-\sqrt{7})


Option: 4

(2,-2 \sqrt{5})


Answers (1)

best_answer

The point from which the tangents drawn are at right angles lie on the director circle.

Equation of director circle is \mathrm{x^2+y^2=2 \times 16=32}

Putting x = 2, we get

\mathrm{y^2=28 \Rightarrow y= \pm 2 \sqrt{7}}

The points can be \mathrm{(2,2 \sqrt{7}) \text { or }(2,-2 \sqrt{7})}

Posted by

Rakesh

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 2025: NIT Patna cut-offs for engineering programmes; know closing ranks for BTech admission
anam-khan

JEE Main 2025: Why IIT Bombay CSE remains top priority of toppers; cut-offs of last 7 years
anam-khan

JEE Main 2025: NIT cut-off marks for BTech in AI and ML, data science engineering

Latest Question