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JEE Main20246 Apr 2024Morning ShiftMathematicsThree Dimensional GeometryActual

Let P be the point (10,-2,-1) and Q be the foot of the perpendicular drawn from the point R(1,7,6) on the line passing through the points (2,-5,11) and (-6,7,-5) . Then the length of the line segment P Q is equal to ________

Correct answer

0

Step-by-step solution

Line : x+6 -8 = y-7 12 = z+5 -16 aligned & x +6 2 = y -7 -3 = z +5 4 = & Q (2 -6,7-3 , 4 -5) & QR (2 -7,-3 , 4 -11) & QR dr's of line =0 & 4 -14+9 +16 -44=0 & 29 =58 =2 & Q (-2,1,3) & PQ = 144+9+16 = 169 =13 aligned

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