Home
Class 12
MATHS
Acute angle between the lines (x-1)/l=(y...

Acute angle between the lines `(x-1)/l=(y+1)/m=z/n` and `(x+1)/m=(y-3)/n=(z-1)/l` where `l > m > n` and `l ,m ,n` are the roots of the cubic equation `x^3+x^2-4x=4` is equal to: `cos^(-1)4/9` (b) `sin^(-1)(sqrt(65))/9` `2cos^(-1)sqrt((13)/(18))` (d) `cot^(-1)4/(65)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS XII

    RESONANCE DPP|Exercise All Questions|26 Videos

  • VECTOR ALGEBRA

    RESONANCE DPP|Exercise All Questions|9 Videos

Similar Questions

Explore conceptually related problems

Find the acute angle between the lines (x-1)/(l)=(y+1)/(m)=(1)/(n) and =(x+1)/(m)=(y-3)/(n)=(z-1)/(l) where l>m>n, and l,m,n are the roots of the cubic equation x^(3)+x^(2)-4x=4

Find the angle between the following pairs of line: (x+4)/3=(y-1)/5=(z+3)/4a n d(x+1)/1=(y-4)/1=(z-5)/2

The angle between the lines (x-1)/1=(y-1)/1=(z-1)/2a n d(x-1)/(-sqrt(3)-1)=(y-1)/(sqrt(3)-1)=(z-1)/4 is cos^(-1)(1/(65)) b. pi/6 c. pi/3 d. pi/4

Distance of the point P(x_(2),y_(2),z_(2)) from the line (x-x_(1))/(l)=(y-y_(1))/(m)=(z-z_(1))/(n), where l,m,n are the direction cosines of the line,is

The condition that the line (x-x_(1))/(l)=(y-y_(1))/(m)=(z-z_(1))/(n) lies in the plane ax+by+cz+d=0 is

If l,m,n are the direction cosines of the line x-1=2(y+3)=1-z , then what is l^4+m^(4)+n^(4) equal to?