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JEE Main202522 Jan 2025Evening ShiftMathematicsThree Dimensional GeometryActual

Let the distance between two parallel lines be 5 units and a point P lie between the lines at a unit distance from one of them. An equilateral triangle P Q R is formed such that Q lies on one of the parallel lines, while R lies on the other. Then (Q R)^2 is equal to _______ -.

Correct answer

0

Step-by-step solution

P R= cosec , P Q=4 (30+ ) For equilateral aligned & d = PR = PQ & ( +30^ )=4 & 3 2 - 1 2 =4 & = 1 3 3 & QR ^2= d ^2= cosec ^2 =28 aligned

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