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📐 Mathematics  ·  Straight Lines  ·  JEE

The distance between (0,0) and (3,4) is:

Answer: 5.

  • A 3
  • B 4
  • C 5
  • D 7

Correct answer: C. 5

Explanation: Distance = sqrt(3² + 4²) = sqrt(9+16) = sqrt(25) = 5 (3-4-5 Pythagorean triple).

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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