Home
Class 12
MATHS
Find the angle between the lines whose d...

Find the angle between the lines whose direction cosines are given by `l+m+n=0 and 2l^2+2m^2-n^2=0`.

A

`(l_1+l_2)/(cos((theta)/(2))), (m_1+m_2)/(cos((theta)/(2))), (n_1+n_2)/(cos((theta)/(2)))`

B

`(l_1+l_2)/(2cos((theta)/(2))), (m_1+m_2)/(2cos((theta)/(2))), (n_1+n_2)/(2cos((theta)/(2)))`

C

`(l_1+l_2)/(sin((theta)/(2))), (m_1+m_2)/(sin((theta)/(2))), (n_1+n_2)/(sin((theta)/(2)))`

D

`(l_1+l_2)/(2sin((theta)/(2))), (m_1+m_2)/(2sin((theta)/(2))), (n_1+n_2)/(2sin((theta)/(2)))`

Text Solution

Verified by Experts

The correct Answer is:
(b, d)
Promotional Banner

Similar Questions

Explore conceptually related problems

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 l + m + n = 0 and l^2 = m^2 + n^2 is .....

Find the angle between the lines whose direction cosines are given by the equation l + m + n = 0 and l^2 + m^2 - n^2 = 0.

The angle between the lines whose direction cosines are l, m, n and m-n, n-l, l-m is......

Show that the straight lines whose direction cosines are given by 2l + 2m - n = 0 and mn + nl + Im = 0 are at right angles.

Find the angle between the lines whose joint equation is 2x^2-3xy+y^2=0

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

Find the angle between the lines whose direction cosines are (-(sqrt3)/(4), (1)/(4), -(sqrt3)/(2)) and (-(sqrt3)/(4), (1)/(4), (sqrt3)/(2)) .

Find the angle between the lines repersented by the equation x^2-2pxy+y^2=0

Find the angle between the lines joining the point (0,0),(2,3) and the points (2,-2),(3,5)dot