Circles
Mathematics — topic guides, questions, and exam chapters with this tag
Topic guide
Circles — Tangents, Chords & Angle Properties for Class 9–10
Tangent from external point, chord and angle subtended, cyclic quadrilateral, equal chords. All circle theorems from NCERT Class 9 and 10.
Solved questions
Prove that the tangent at any point on a circle is perpendicular to radius
NCERT Class 10
Prove that the tangent to a circle is perpendicular to the radius at point of contact
Tangent from external point to circle — find length and equation
JEE Main 2023
Find the area of segment of circle with radius 14cm and central angle 60 degrees
Tangent to circle — prove tangent is perpendicular to radius at point of contact
NCERT Class 10
Two tangents PA and PB from external point P — prove PA = PB
Tangent from External Point 13 cm Away, Radius 5 cm — Find Tangent Length
NCERT Class 10 Chapter 10
Prove: Tangent to a Circle is Perpendicular to Radius — Geometry Proof
NCERT Class 10 Chapter 10
Two Tangents from External Point Are Equal in Length — Proof
NCERT Class 10 Chapter 10
Power of a point with respect to a circle — tangent and secant
JEE Main 2023
Find the radical axis of two circles and radical centre of three circles
JEE Advanced 2022
Circle theorems — tangent, chord, secant angle relationships
Angle Subtended by Arc at Centre vs at Circumference
NCERT Class 9
Length of Arc and Area of Sector — Circle Formulas
NCERT Class 10
Find the equation of circle passing through three given points
JEE Main 2020