The number of integral values of k for which the line, 3x + 4y = k intersects the circle, x^{2} + y^{2} – 2x – 4y + 4 = 0 at two distinct points is ....

Numerical Value Type

If you are commenting for the first time, please read the guidelines.

If you are answering for the first time, please read the guidelines.

Ans. (09.00)

Sol. If line cuts circle then p < r

Centre of circle (1, 2), r = 1

$\left|{3+8-k\over5}\right|<1\implies k\in(6, 16)$

k = 7, 8, 9, 10, 11, 12, 13, 14, 15, ..........

Welcome to Jee Neet QnA, where you can ask questions and receive answers from other members of the community.

Join our Telegram group for live discussion.

Subscribe our YouTube channel for video solutions with explanation.

Download Jee Neet QnA Books in PDF for offline learning.

1.2k questions

842 answers

384 comments

92 users