Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Two chords are drawn from the point P(h, k) on  the circle <img alt="\mathrm{x^2+y^2=h x+k y}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7Bx%5E2&plus;y%5E2%3Dh%20x&amp

Two chords are drawn from the point P(h, k) on  the circle \mathrm{x^2+y^2=h x+k y} . If the y-axis  divides both the  chords  in the  ratio 2 :3, then

Option: 1

\mathrm{k^2>15 h^2}


Option: 2

\mathrm{15 k^2>h^2}


Option: 3

\mathrm{h^2=15 k^2}


Option: 4

None  of  these.


Answers (1)

best_answer

Point P(h, k) is  lying  on the  circle. Let the y-axis divides the chords in the ratio 2 : 3 at  the  point  (0, β). Then co-ordinates of the other end of the chord will be .

\mathrm{\left(-\frac{3 h}{2}, \frac{5 \beta-3 k}{2}\right)} This point will lie on the circle.

\mathrm{\Rightarrow \text { for two distinct values of } B \quad 64 k^2-60\left(h^2+k^2\right)>0}

\mathrm{\Rightarrow 4 k^2>60 h^2 \Rightarrow k^2>15 h^2 .}

 

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 session 2 application correction begins on jeemain.nta.nic.in; edit details by tomorrow
anam-khan

JEE Main 2026 Registration LIVE: Session 2 exam from April 2 to 9; shift timings, admit card, exam pattern
anam-khan

JEE Main 2026 session 2 registration ends today for BTech, BArch; apply at jeemain.nta.nic.in

Latest Question