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JEE Main20245 Apr 2024Evening ShiftMathematicsThree Dimensional GeometryActual

Let the point (-1, , ) lie on the line of the shortest distance between the lines x+2 -3 = y-2 4 = z-5 2 and x+2 -1 = y+6 2 = z-1 0 . Then ( - )^2 is equal to___________

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Step-by-step solution

aligned & P (-3 -2,4 +2,2 +5) & Q (- -2,2 -6,1) & DRS of PQ =(3 - , 2 -4 -8,-2 -4) & DRS of PQ = | array ccc i & j & k -1 & 2 & 0 -3 & 4 & 2 array | & =(4 i +2 j +2 k ) aligned OR aligned & (2,1,1) & 3 - 2 = 2 -4 -8 1 = -2 -4 1 & = +2 & 7 = -8 & =-1 =1 & Q:(-3,-4,1) & L_ P Q = x+3 2 = y+4 1 = z-1 1 & (-1, , ) 1= +4 1 = -1 1 & =-3, =2 & ( - )^2=25 aligned

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