The line which contains all points \( (x, y, z) \) which are of the form \( (x, y, z)=(2,-2,5)+\... VIDEO
The line which contains all points \( (x, y, z) \) which are of the form \( (x, y, z)=(2,-2,5)+\lambda(1,-3,2) \) intersects the plane \( 2 x-3 y+4 z=163 \) at \( P \) and intersects the \( Y Z \)-plane at \( Q \). If the distance \( P Q \) is \( a \sqrt{b} \), where \( a, b \in N \) and \( a3 \), then \( (a+b) \) is equal to
(a) 23
(b) 95
(c) 27
(d) None of these
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