JEE Main & Advanced
Sample Paper
JEE Main Sample Paper-29
question_answer
The circle passing through \[(1,-2)\] and touching the x-axis at \[(3,0)\] also passes through the point
A)\[(-5,2)\]
B)\[(2,-5)\]
C)\[(5,-2)\]
D)\[(-2,5)\]
Correct Answer:
C
Solution :
\[\therefore \]Equation of required circle is \[{{(x-3)}^{2}}+{{y}^{2}}+\lambda y=0\] as, \[(1,\,\,-2)\] satisfy it, so \[\Rightarrow \,2(\sin \theta \,+\cos \theta )\,.(\sin \theta -\cos \theta )=0\] \[\therefore \]The equation of circle is \[{{x}^{2}}+{{y}^{2}}-6x+4y+9=0\] Clearly,\[(5,\,\,-~2)\] satisfy it.