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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

The shortest distance from the origin to the circle x² + y² − 6x − 8y + 24 = 0 is:

Answer: 4.

  • A 3
  • B 4
  • C 5
  • D 1

Correct answer: B. 4

Explanation: Centre (3, 4), radius √(9 + 16 − 24) = 1. Distance from origin to centre is 5, so nearest distance = 5 − 1 = 4.

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

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