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3D Geometry question

2024 · 31 Jan · Shift 2 · Q60
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3D Geometry question

2024 · 31 Jan · Shift 2 · Q60

JEE MainMathematics3D GeometryNumerical+4 / −1
A line passes through A(4,−6,−2)A(4,-6,-2)A(4,−6,−2) and B(16,−2,4)B(16,-2,4)B(16,−2,4). The point P(a,b,c)P(a, b, c)P(a,b,c), where a,b,ca, b, ca,b,c are non-negative integers, on the line ABA BAB lies at a distance of 21 units, from the point AAA. The distance between the points P(a,b,c)P(a, b, c)P(a,b,c) and Q(4,−12,3)Q(4,-12,3)Q(4,−12,3) is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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