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Circles — JEE Practice

15 practice questions across 1 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.

1 Topics15 Questions

Circle Equations & Properties(15 Qs)

easy (5)

Q1General equation of a circle is:Q2Centre and radius of x²+y²=25 are:Q3A circle with center (h,k) and radius r has equation:Q4The length of a chord passing through center is called:Q5Number of tangents from a point outside a circle:

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:

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