Let `L_(1)=(x+3)/(-4)=(y-6)/(3)=(z)/(2)` and `L_(2)=(x-2)/(-4)=(y+1)/(1)=(z-6)/(1)` Which of these are incorrect?
(A) `L_(1), L_(2)` are coplanar.
(B) `L_(1),L_(2)` are skew lines
(C) Shortest distance between `L_(1),L_(2)` is `9`
(D) `(hat i-4hat j+8hat k)` is a vector perpendicular to both `L_(1),L_(2)`

Consider the line L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2),L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) The shortest distance between L_(1) and L_(2) is

Consider the line L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2),L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) The shortest distance between L_(1) and L_(2) is

The shortest distance between lines L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2) , L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) is

Let L_(1):bar(r)=(i-j)+t_(1)(2i+3j+k), L_(2):bar(r)=(-i+2j+2k)+t_(2)(5i+j) , then The shortest distance between L_(1) and L_(2) is

Let L_(1):bar(r)=(i-j)+t_(1)(2i+3j+k) ,L_(2):bar(r)=(-i+2j+2k)+t_(2)(5i+j) ,then The shortest distance between L_(1) and L_(2) is

Consider the lines: L_(1):(x-2)/(1)=(y-1)/(7)=(z+2)/(-5),L_(2):x-4=y+3= Then which of the following is/are correct? (A) Point of intersection of L_(1) and L_(2)is(1,-6,3)

If the lines L_(1):(x-1)/(3)=(y-lambda)/(1)=(z-3)/(2) and L_(2):(x-3)/(1)=(y-1)/(2)=(z-2)/(3) are coplanar, then the equation of the plane passing through the point of intersection of L_(1)&L_(2) which is at a maximum distance from the origin is

Let L_(1) and L_(2) be the foollowing straight lines. L_(1): (x-1)/(1)=(y)/(-1)=(z-1)/(3) and L_(2): (x-1)/(-3)=(y)/(-1)=(z-1)/(1) Suppose the striight line L:(x-alpha)/(l)=(y-m)/(m)=(z-gamma)/(-2) lies in the plane containing L_(1) and L_(2) and passes throug the point of intersection of L_(1) and L_(2) if the L bisects the acute angle between the lines L_(1) and L_(2) , then which of the following statements is /are TRUE ?

Let L_(1)=lim_(x rarr4)(x-6)^(x)ndL_(2)=lim_(x rarr4)(x-6)^(4) Which of the following is true? Both L_(1) and L_(2) exists Neither L_(1) and L_(2) exists L_(1) exists but L_(2) does not exist L_(2) exists but L_(1) does not exist