📐Chapter Practice
Circles — JEE Practice
30 practice questions across 2 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.
2 Topics30 Questions
Circle Equations & Properties(15 Qs)
easy (5)
medium (5)
Q1Length of tangent from (5,4) to circle x²+y²=9 is:Q2Equation of tangent to x²+y² = a² at point (x₁,y₁) is:Q3Two circles x²+y²=4 and (x-3)²+y²=1. Distance between centers = 3, r₁+r₂ = 3. They are:Q4The radical axis of two circles S₁=0, S₂=0 is:Q5Power of a point P(x₁,y₁) w.r.t. circle x²+y²+2gx+2fy+c=0 is:
hard (5)
Q1Common tangents between non-overlapping external circles: 2 external + 2 internal =Q2The family of circles through intersection of S₁ and S₂ is:Q3Angle of intersection of two circles with radii r₁,r₂ and center distance d is:Q4Orthogonality condition for circles x²+y²+2g₁x+2f₁y+c₁=0 and x²+y²+2g₂x+2f₂y+c₂=0:Q5The director circle of x²+y² = a² has equation:
Equation & Properties of Circles(15 Qs)
easy (5)
medium (5)
Q1The equation of tangent to x²+y²=a² at point (x₁,y₁) is:Q2Length of tangent from external point (x₁,y₁) to circle x²+y²+2gx+2fy+c=0 is:Q3Two circles x²+y²+2g₁x+2f₁y+c₁=0 and x²+y²+2g₂x+2f₂y+c₂=0 are orthogonal when:Q4The power of a point P(x₁,y₁) w.r.t. circle S is:Q5The radical axis of two circles S₁=0 and S₂=0 is:
hard (5)
Q1The common tangent(s) to two non-intersecting circles have:Q2The equation of the circle with endpoints of diameter at (x₁,y₁) and (x₂,y₂) is:Q3The family of circles through intersection of S₁=0 and S₂=0 is:Q4The chord of contact from (x₁,y₁) to x²+y²=a² is:Q5The director circle of x²+y²=a² has equation:
More Mathematics Chapters
Need Help with Circles?
Get 1-on-1 doubt sessions and personalised practice analysis with our JEE Mathematics coaching mentors.