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99 Percentile Qs Bank for JEE MainMathematicsStraight Lines

The equations y = ± 3 x , y = 1 are the sides of

Options

  1. Aan equilateral triangle
  2. Ba right angled triangle
  3. Can isosceles triangle
  4. Da scalene triangle

Correct answer

A. an equilateral triangle

Step-by-step solution

Equation of O A is y = 3 x ⇒ m = tan θ = 3 ⇒ θ = 60 ° Equation of O B is y = - 3 x So ∠ X O B = 120 ° and ∠ B O A = 60 ° Equation of A B is y = 1 Now points A 1 3 , 1   &   B - 1 3 , 1 So O A = 2 3 = O B ⇒ ∠ A B O = ∠ B A O = 60 ° So, Δ O A B is an equilateral triangle.

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