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📐 Mathematics  ·  Straight Lines  ·  JEE

The area of the triangle formed by the lines y = x, y = −x and y = 2 is:

Answer: 4.

  • A 2
  • B 4
  • C 6
  • D 8

Correct answer: B. 4

Explanation: Vertices are (0,0), (2,2), (−2,2). Base = 4, height = 2, area = 4.

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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