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The point of intersection C of the plane...

The point of intersection C of the plane `8x + y + 2z = 0` and the line joining the points `A(–3, –6, 1)` and `B(2,4,–3)` divides the line segment `AB` internally in the ration `k : 1`. If `a,b,c` `(abs(a), abs(b), abs(c))` are co-prime) are the direction ratios of the perpendicular from the point C on the line `(1-x)/(1)=(y+4)/(2)=(z+2)/(3) ` then `abs(a + b + c)` is equal to

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