Triangle Area Perpendiculars to Lines (Jee Mains)

3D Line Equations and Skew

Medium

Triangle Area Perpendiculars to Lines

Consider the lines L₁ : x –1 = y–2 = z and L₂ : x –2 = y = z – 1. Let the feet of the perpendiculars from the point P(5,1, –3) on the lines L₁ and L₂ be Q and R respectively. If the area of the triangle PQR is A, then 4A² is equal to :

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