Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • If <img alt="\left(\mathrm{a}, \frac{1}{\mathrm{a}}\right),\left(\mathrm{b}, \frac{1}{\mathrm{~b}}\right),\left(\mathrm{c}, \frac{1}{\mathrm{c}}\right) \&\left(\mathrm{~d}, \frac{1}{\mathrm{~d}

If \left(\mathrm{a}, \frac{1}{\mathrm{a}}\right),\left(\mathrm{b}, \frac{1}{\mathrm{~b}}\right),\left(\mathrm{c}, \frac{1}{\mathrm{c}}\right) \&\left(\mathrm{~d}, \frac{1}{\mathrm{~d}}\right) are four distinct points on a circle of radius 4 units then, abcd is equal to

Option: 1

4


Option: 2

1 / 4


Option: 3

1


Option: 4

16


Answers (1)

best_answer

 Let us assume that circle : \mathrm{x^{2}+y^{2}=16}

points are of form \mathrm{\left(t, \frac{1}{t}\right) \quad \Rightarrow \quad t^{2}+\frac{1}{t^{2}}=16} should satisfy

\mathrm{\Rightarrow \quad \mathrm{t}^{4}-16 \mathrm{t}^{2}+1=0}

\mathrm{\therefore \quad} product of roots  \mathrm{=1}

Posted by

Devendra Khairwa

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: JCECEB invites fresh applications for Jharkhand state merit list correction

Latest Question