Consider the lines given by `L_1: x+3y-5=0` `L_2:3x-k y-1=0` `L_3:5x+2y-12=0` Column I|Column II `L_1,L_2,L_3` are concurrent if|p. `k=-9` One of `L_1,L_2,L_3` is parallel to at least one of the other two if|q. `k=-6/5` `L_1,L_2,L_3` form a triangle if|r. `k=5/6` `L_1,L_2,L_3` do not form a triangle if|s. `k=5`

Consider the lines given by L_(1):x+3y-5=0 L_(2):3x-ky-1=0 L_(3):5x+2y-12=0 Match the following lists.

Consider the line L 1 : x 1 y 2 z 1 312 +++ ==, L2 : x2y2z3 123

Consider the line L 1 : x 1 y 2 z 1 312 +++ ==, L2 : x2y2z3 123

Consider the lines L_(1) -=3x-4y+2=0 " and " L_(2)-=3y-4x-5=0. Now, choose the correct statement(s).

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_1 and P_2 respectively. Statement 1: At least two of the lines L_1, L_2 and L_3 are non-parallel . Statement 2:The three planes do not have a common point

L_1a n dL_2 are two lines. If the reflection of L_1onL_2 and the reflection of L_2 on L_1 coincide, then the angle between the lines is (a) 30^0 (b) 60^0 45^0 (d) 90^0

The line L given by x/5 + y/b = 1 passes through the point (13,32).the line K is parallel to L and has the equation x/c+y/3=1 then the distance between L and K is

Three sides of a triangle have the equation L_i = y - m_i x = 0 , I = 1, 2, 3. Then L_1L_2 + lambdaL_2L_3 +_ muL_3L_1 = 0 (where lambda ne 0, mu ne 0 ). Is the equation of the circumcircle of the triangle if

theta_1 and theta_2 are the inclination of lines L_1 and L_2 with the x-axis. If L_1 and L_2 pass through P(x_1,y_1) , then the equation of one of the angle bisector of these lines is