If `l_1: (x-5)/3=(y-7)/(-16)=(z-3)/7 and l_2:(x-9)/3=(y-13)/8=(z-15)/(-5)` the (A) `l_1 and l_2` intersect (B) `l_1 and l_2` are skew (C) distance between `l_1 and l_2` is 14 (D) none of these

L_(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L_(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) The lines L_(1) and L_(2) are -

Consider the line L_(1) : (x-1)/(2)=(y)/(-1)=(z+3)/(1), L_(2) : (x-4)/(1)=(y+3)/(1)=(z+3)/(2) find the angle between them.

Consider the L_1:(x+1)/3=(y+2)/1=(z+1)/2 and L_2:(x-2)/1=(y+2)/2=(z-3)/3 The shortest distance betwen L_1 and L_2 is (A) 0 (B) 17/sqrt(3) (C) 41/(5(3) (D) 17/sqrt(75)

Read the following passage and answer the questions. Consider the lines L_(1) : (x+1)/(3)=(y+2)/(1)=(z+1)/(2) L_(2) : (x-2)/(1)=(y+2)/(2)=(z-3)/(3) Q. The shortest distance between L_(1) and L_(2) is

For the l:(x-1)/3=(y+1)/2=(z-3)/(-1) and the plane P:x-2y-z=0 of the following assertions the ony one which is true is (A) l lies in P (B) l is parallel to P (C) l is perpendiculr to P (D) none of these

Consider the lines L_(1): (x-1)/(2)=(y)/(-1)= (z+3)/(1) , L_(2): (x-4)/(1)= (y+3)/(1)= (z+3)/(2) and the planes P_(1)= 7x+y+2z=3, P_(2): 3x+5y-6z=4 . Let ax+by+cz=d be the equation of the plane passing through the point of intersection of lines L_(1) and L_(2) , and perpendicular to planes P_(1) and P_(2) . Match Column I with Column II.

Let L1 and L2 be two lines such that L_(2) : (x+1)/-3=(y-3)/2=(z+2)/1, L_(2) : x/1 = (y-7)/-3 = (z+7)/2 The point of intersection of L1 and L2 is

Equation of plane which passes through the intersection point of the lines L_1:(x-1)/3=(y-2)/1=(z-3)/2 and L_2:(x-2)/2=(y-1)/2=(z-6)/- 1 and has the largest distance from origin

Two lines L_(1) : x=5, (y)/(3-alpha)=(z)/(-2) and L_(2) : x=alpha, (y)/(-1)=(z)/(2-alpha) are coplanar. Then, alpha can take value(s)

If L_1 is the line of intersection of planes 2x+y+z=1a n d3x+y+2z=2a n dL_2 is line x=y=z , Which option is correct? (a)Shortest distance between L_1a n dL_2i s1/(sqrt(2)) Equation of L_1i s(x-1)/1=(y+1)/(-1)=(z-0)/(-1) (b)Shortest distance between L_1a n dL_2 is sqrt(2) Equation of L_1i s(x-1)/1=(y+1)/(-2)=(z-0)/(-1) (c) None of these