Home
Class 12
MATHS
Supose directioncoisnes of two lines are...

Supose directioncoisnes of two lines are given by `u l+vm+wn=0 and al^2+bm^2+cn^2=0` where u,v,w,a,b,c are arbitrary constnts and l,m,n are directioncosines of the lines. For `u=v=w=1` directionc isines of both lines satisfy the relation. (A) `(b+c)(n/l)^2+2b(n/l)+(a+b)=0` (B) `(c+a)(l/m)^2+2c(l/m)+(b+c)=0` (C) `(a+b)(m/n)^2+2a(m/n)+(c+a)=0` (D) all of the above

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Supose directioncoisnes of two lines are given by u l+vm+wn=0 and al^2+bm^2+cn^2=0 where u,v,w,a,b,c are arbitrary constnts and l,m,n are directioncosines of the lines. For u=v=w=1 if lines are perpendicular then. (A) a+b+c=0 (B) ab+bc+ca=0 (C) ab+bc+ca=3abc (D) ab+bc+ca=abc

Supose directioncoisnes of two lines are given by u l+vm+wn=0 and al^2+bm^2+cn^2=0 where u,v,w,a,b,c are arbitrary constnts and l,m,n are directioncosines of the lines. For u=v=w=1 if (n_1 n_2)/(l_1 l_2)=((a+b)/(b+c)) then (A) (m_1m_2)/(l_1 l_2)=((b+c))/((c+a)) (B) (m_1m_2)/(l_1 l_2)=((c+a))/((b+c)) (C) (m_1m_2)/(l_1 l_2)=((a+b))/((c+a)) (D) (m_1m_2)/(l_1 l_2)=((c+a))/((a+b))

Find the direction cosines of the lines, connected by the relations: l+m+n=0 and 2l m+2ln-m n=0.

Find the direction cosines of the lines, connected by the relations: l+m+n=0 and 2l m+2ln-m n=0.

Find the angle between the lines whose direction cosines are connected by the relations l+m+n=0a n d2//m+2n l-m n=0.

Find the angle between the lines whose direction cosines are connected by the relations l+m+n=0a n d2lm+2n l-m n=0.

the acute angle between two lines such that the direction cosines l, m, n of each of them satisfy the equations l + m + n = 0 and l^2 + m^2 - n^2 = 0 is

Find the angle between the line whose direction cosines are given by l+m+n=0a n d2l^2+2m^2-n^2-0.

Find the angle between the line whose direction cosines are given by l+m+n=0a n d2l^2+2m^2-n^2-0.

The angle between the lines whose direction cosines are given by the equatios l^2+m^2-n^2=0, m+n+l=0 is