Circle · Mathematics · IAT (IISER)
MCQ (Single Correct Answer)
1
What is the locus of the center of circles passing through the origin $(0,0)$ with fixed radius?
IAT (IISER) 2023
2
Consider the tangent lines to the circle $x^2+y^2=1$ at points $P=(1,0)$ and $Q=\left(\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)$. If $R$ is the point of intersection of these two tangent lines, then $\angle P R Q$ is:
IAT (IISER) 2022
3
Let $C$ be a circle which passes through $(-2,1)$ and $(0,3)$ and whose centre lies on the line $y-x=1$. Then which of the following points lies on $C$ ?
IAT (IISER) 2020