Home
Class 12
MATHS
The angle between the lines whose direct...

The angle between the lines whose direction cosines satisfy the equations `l + m + n = 0 and l^(2) = m^(2) + n^(2)` is

A

`(pi)/(3)`

B

`(pi)/(4)`

C

`(pi)/(6)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the angle between the lines whose direction cosines are given by the equations 3l + m + 5n = 0 and 6mn - 2nl + 5lm = 0

Find the acute angle vetween two straight lines whose direction cosines are given by the equations l-5m+3n=0 and 7l^(2)+5m^(2)-3n^(2)=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.

Find the angle between the line whose direction cosines are given by l+m+n=0a n dl^2+m^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 pair of straight lines whose direction cosines are given by the equations 2l-m+2n=0 and mn+nl+lm=0 is -

Show that the straight lines whose direction cosines are given by the equations al+bm+cn=0 and u l^2+v m^2+w n^2=0 are parallel or perpendicular as a^2/u+b^2/v+c^2/w=0 or a^2(v +w)+b^2(w+u)+c^2(u+v)=0

Find the acute angle between the two straight lines whose direction cosines are given by l+m+n=0, l^(2)+m^(2)-n^(2)=0

Find the angle between the two straight lines whose direction cosines are given by 2l+2m-n=0, mn+nl+lm=0

The pair of lines whose direction cosines are given by the equations 3l+m+5n=0a n d6m n-2n l+5l m=0 are a. parallel b. perpendicular c. inclined at cos^(-1)(1/6) d. none of these