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📐 Mathematics  ·  Straight Lines  ·  JEE

Two lines 3x + 2y = 7 and 6x + 4y = 10 are:

Answer: Parallel.

  • A Parallel
  • B Perpendicular
  • C Intersecting at one point
  • D Same line

Correct answer: A. Parallel

Explanation: Line 2: 6x + 4y = 10 → 3x + 2y = 5. Same slope (-3/2) but different intercepts. Parallel.

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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