Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Four distinct points <img alt="(2 K, 3 K),(1,0),(0,1)$ and $(0,0)" src="https://entrancecorner.oncodecogs.com/gif.latex?%282%20K%2C%203%20K%29%2C%281%2C0%29%2C%280%2C1%29%24%20and%20%24%280%2C0%29"

Four distinct points (2 K, 3 K),(1,0),(0,1)$ and $(0,0) lie on a circle when

Option: 1

all are integral values of K


Option: 2

0<K<1


Option: 3

K<0


Option: 4

For two values of K


Answers (1)

best_answer

The equation of the circle passing through the point (1,0),(0,1)$ and $(0,0) is

\mathrm{x^{2}+y^{2}-x-y=0}, which passes through \mathrm{(2 k, 3 k)}, if

\mathrm{4 k^{2}+9 k^{2}-2 k-3 k=0 \Rightarrow k=0, k=\frac{5}{13}}.
Hence (D) is the correct answer.

Posted by

Anam Khan

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

75% criteria for JEE Main 2025 not removed; eligibility criteria for admission to IITs
anam-khan

BTech Admissions 2025 LIVE: AEEE phase 1 exam date out, JEE Mains registration ongoing; BITSAT, VITEEE updates
anam-khan

JEE Main 2025 Eligibility Criteria: What is state code of eligibility? Here’s list of qualifying exams

Latest Question