Algebra
Quadratic EquationsSequences and SeriesPermutations and CombinationsProbabilitySets and RelationsBinomial TheoremVector AlgebraThree Dimensional GeometryMatrices and DeterminantsStatisticsLinear ProgrammingComplex NumbersTrigonometry
Trigonometric EquationsProperties of TrianglesCalculus
FunctionsLimits, Continuity and DifferentiabilityApplication of DerivativesDefinite IntegrationArea Under The CurvesDifferential EquationsCoordinate Geometry
Straight Lines and Pair of Straight LinesCircleCircle
Practice QuestionsMCQ (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