Circle Ques 16
- For how many values of $p$, the circle $x^{2}+y^{2}+2 x+4 y-p=0$ and the coordinate axes have exactly three common points?
(2017 Adv.)
Show Answer
Solution:
Formula:
The circle and coordinate axes can have at most 2 common points, if it passes through origin. $[p=0]$
If a circle cuts one axis and touches the other axis.
Only possibility is touching the $X$-axis and cutting
$Y$-axis. $[p=1]$
BETA
