Let `P(1, 2, 3)` be a point in space and Q be a point on the line `(x-1)/(2)=(y-3)/(5)=(z-1)/(3)` such that PQ is parallel to `5x-4y+3z=1`. If the length of PQ is equal to k units, then the value of `k^(2)` is equal to

If the distance of point P(3, 2, 6) from the line (x-1)/(2)=(y-2)/(3)=(z-3)/(4) measured parallel to the plane 3x-5y+2z=5 is k, then then the value of k^(2) is equal to

If the distance of point P(3, 2, 6) from the line (x-1)/(2)=(y-2)/(3)=(z-3)/(4) measured parallel to the plane 3x-5y+2z=5 is k, then then the value of k^(2) is equal to

Let P be a plane containing the line (x-1)/3=(y+6)/4=(z+5)/2 and parallel to the line (x-3)/(4)=(y-2)/(-3)=(z+5)/7 . If the point (1,-1, alpha) lies on the plane P, then the value of |5 alpha| is equal to ..........

If the line (x-1)/(1)=(y-k)/(-2)=(z-3)/(lambda) lies in the plane 3x+4y-2z=6 , then 5|k|+3|lambda| is equal to

If the line (x-1)/(1)=(y-k)/(-2)=(z-3)/(lambda) lies in the plane 3x+4y-2z=6 , then 5|k|+3|lambda| is equal to

If the shortest distance between the lines (x-1)/(1)=(y-1)/(1)=(z-1)/(1) and (x-2)/(1)=(y-3)/(1)=(z-4)/(1) is equal to sqrt(K) unit, then the value of K is -

The equation of the plane passing through the poit of intersection of the lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2),(x-3)/(1)=(y-1)/(2)=(z-2)/(3) and perpendicular to the line (x-2)/(2)=(y-3)/(3)=(z-2)/(1) is P = 0. If the distance of the point (1, 1, 3) from P = 0 is k units, then the value of (k^(2))/(2) is equal to

The equation of the plane passing through the poit of intersection of the lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2),(x-3)/(1)=(y-1)/(2)=(z-2)/(3) and perpendicular to the line (x-2)/(2)=(y-3)/(3)=(z-2)/(1) is P = 0. If the distance of the point (1, 1, 3) from P = 0 is k units, then the value of (k^(2))/(2) is equal to