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📐 Mathematics  ·  Straight Lines  ·  JEE

The standard form of a circle centred at origin with radius r is:

Answer: x² + y² = r².

  • A x + y = r
  • B x² + y² = r
  • C x² + y² = r²
  • D x² - y² = r²

Correct answer: C. x² + y² = r²

Explanation: Standard equation of circle at origin: x² + y² = r².

Slope as Rise over Runxy(x₁,y₁)(x₂,y₂)run = x₂−x₁rise = y₂−y₁m = rise/run = (y₂−y₁)/(x₂−x₁) = tanθ

The slope of a line is the ratio of vertical change (rise) to horizontal change (run) between any two points on it - equivalently, the tangent of the angle θ the line makes with the positive x-axis.

Concept context

Points, lines, and curves on the Cartesian plane

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