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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

The radical axis of two non-concentric circles is:

Answer: Perpendicular to the line of centres.

  • A Parallel to the line of centres
  • B Perpendicular to the line of centres
  • C The same as the line of centres
  • D The common chord extended

Correct answer: B. Perpendicular to the line of centres

Explanation: Radical axis = locus where power w.r.t. both circles is equal. Subtracting circle equations (S₁−S₂=0) gives a linear equation, always perpendicular to the line joining the two centres. For intersecting circles it is the common chord extended. Ans: Perpendicular to the line of centres.

Cylinder, Cone, SphereV=πr²hCSA=2πrhV=⅓πr²hCSA=πrlV=4/3πr³SA=4πr²

Three standard 3D solids and their key formulas: a cylinder's volume scales with the full height, a cone's volume is exactly one-third of the cylinder with the same base and height, and a sphere's volume and surface area both follow distinct r-based formulas worth memorising separately.

Concept context

Perimeters, areas, and volumes of 2D and 3D shapes

Read the full Circles & Mensuration notes →