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NTA Abhyas JEE Main2020MathematicsStraight LinesPractice

Let P is a point on the line y + 2 x = 2 and Q and R are two points on the line 3 y + 6 x = 3 . If the triangle P Q R is an equilateral triangle, then its area (in sq. units) is equal to

Options

  1. A1 15
  2. B1 5 3
  3. C1 3 5
  4. D1 2 15

Correct answer

B. 1 5 3

Step-by-step solution

The distance between the given parallel lines h is 2 - 1 5 = 1 5 ∴ Length of the side of the triangle is = 2 h 3 Hence, the area of triangle = 3 4 × 4 h 2 3 = h 2 3 = 1 5 3 sq. units

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