If the line, `(x-3)/(2)=(y+2)/(-1)=(z+4)/(3)` lies in the plane, `lx+my-n=9`, then `l^(2)+m^(2)` is equal to

If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9 , then l^2+m^2 is equal to: (1) 26 (2) 18 (3) 5 (4) 2

If the line (x-4)/(1)=(y-2)/(1)=(z-m)/(2) lies in the plane 2x+ly+z=7 , then the value of m+2l 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-3)/(1) =(y+2)/(-1) = (z+ lamda)/(-2) lies in the plane, 2x -4y + 3z =2, then the shortest distance between this line and the line, (x-1)/(12) = y/9 =z/4 is :

The image of the line (x-2)/(2)=(y-3)/(-3)=(z-4)/(1) in the plane x+y+z=6 can be

If the angle between the plane x-3y+2z=1 and the line (x-1)/(2)=(y-1)/(-1)=(z-1)/(-3) is theta , then sec 2 theta is equal to

If theta the angle between the line (x+1)/(3) = (y-1)/(2) = (z-2)/(4) and the plane 2x + y-3z+ 4 =0, then 64 cosec ^(2) theta is equal to :

Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alphaz+beta=0 . Then, (alpha, beta) equals

The line (x-3)/1=(y-4)/2=(z-5)/2 cuts the plane x+y+z=17 at

Statement-1 line (x-1)/(3)=(y-2)/(11)=(z+1)/(11) lies in the plane 11x-3z-14=0 . Statement-2 A straight line lies in a plane, if the line is parallel to plane and a point of the line in the plane.