If `l,m and n` are three straight lines such that `l||m` and `l||n` then prove that `m||n`.

l, m and n are three parallel lines intersected by transversals p and q such that l, m and n cut off equal intercepts AB and BC on p (see Fig. 8.28). Show that l, m and n cut off equal intercepts DE and EF on q also.

Let L_(1),L_(2),L_(3) be three straight lines a plane and n be the number of circles touching all the lines . Find the value of n.

If the straight line x cosalpha+y sinalpha=p touches the curve x^my^n =a^(m+n) , prove that p^(m+n).m^m.n^n =(m+n)^(m+n)a^(m+n)cos^m alphasin^nalpha

In fig. if lines l and m are parallel lines then x=

Prove m:n theorem in a Delta ABC , a point D is taken on side BC such that BD:DC is m:n. Then prove that(1) (m+n)cottheta= mcotalpha -ncotbeta (2) (m+n)cottheta= ncotB-mcotC

If lines l and m intersect at a point Also m and n intersect at a point, is it necessary that lines l,m,n intersect at the same point.

For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly intersect in a straight line, when Q. l, m and n satisfy the equation

In fig. lines l and m are parallel, then the value of x

If veca, vecb and vecc are any three non-coplanar vectors, then prove that points l_(1)veca+ m_(1)vecb+ n_(1)vecc, l_(2)veca+m_(2)vecb+n_(2)vecc, l_(3)veca+m_(3)vecb+ n_(3)vecc, l_(4)veca + m_(4)vecb+ n_(4)vecc are coplanar if |{:(l_(1),, l_(2),,l_(3),,l_(4)),(m_(1),,m_(2),,m_(3),,m_(4)), (n_1,,n_2,, n_3,,n_4),(1,,1,,1,,1):}|=0

l||m and n is a transversal the value of x will be