Let `l_(1) and l_(2)` be thw two lines intersecting at P. If `A_(1), B_(1), C_(1)` are points on `l_(1), A_(2), B_(2), C_(2), D_(2), E_(2)` are points on `l_(2)` an dif none of these coincides with P, then the number of triangles formed by joining these eight points is-

Let L_(1) and L_(2) be two lines intersecting at P If A_(1),B_(1),C_(1) are points on L_(1),A_(2),B_(2),C_(2),D_(2),E_(2) are points on L_(2) and if none of these coincides with P, then the number of triangles formed by these 8 points is

Let L_(1) and L_(2) be two lines intersecting at P. If A_(1),B_(1),C_(1) are points on L_(1),A_(2),B_(2),C_(2),D_(2),E_(2) are points on L_(2) and if none of these coincides with P, then the number of triangles formed by these 8 points is

Let L_1 and L_2 be two lines intersecting at P If A_1,B_1,C_1 are points on L_1,A_2, B_2,C_2,D_2,E_2 are points on L_2 and if none of these coincides with P, then the number of triangles formed by these 8 points is

Let l_(1) and l_(2) be the two skew lines. If P, Q are two distinct points on l_(1) and R, S are two distinct points on l_(2) , then prove that PR cannot be parallel to QS.

Let l_(1) and l_(2) be the two skew lines. If P, Q are two distinct points on l_(1) and R, S are two distinct points on l_(2) , then prove that PR cannot be parallel to QS.

Consider three planes P _(1) = x-y + z=1 , P_(2) = x + y -z = -1 and P _(3) , x - 3y + 3z =2. Let L_(1), L_(2) and L_(3) be the lines of intersection of the planes P _(2) and P _(3) , P _(3) and P _(1), and P _(2), respectively Statement -1: At least two of the lines L _(1), _(2) and L _(3) are non-parallel . Statement -1: the three planes fo not have a common point

If lines l_(1), l_(2) and l_(3) pass through a point P, then they are called…………. Lines.

Let L_(1)=0and L_(2) =0 be two intarecting straight lines. Then the number of points, whose distacne from L_(1) is 2 units and from L_(2) 2 units is