`L_1 = x + 3y-5=0, L_2= 3x-ky-1=0 , L_3 = 5x + 2y-12 = 0 ` are concurrent if k=

Consider the lines given by : L_1 : x+3y-5=0, L_2 : 3x-ky-1=0, L_3 : 5x+2y-12=0 If a be the value of k for which lines L_1, L_2, L_3 do not form a triangle and c be the value of k for which one of L_1, L_2, L_3 is parallel to at least one of the other lines, then abc=

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 statements/Expression in Column-I with the statements/Expressions in Column-II and indicate your answer by darkening the appropriate bubbles in the 4 × 4 matrix given in OMR.

The lines 2x + y -1=0 , ax+ 3y-3=0 and 3x + 2y -2=0 are concurrent for -

The line x - 2y + 3 = 0 , 3x - y = 1 and kx - y + 1 = 0 are concurrent . Find k .

Show that the lines 2x + 3y - 8 = 0 , x - 5y + 9 = 0 and 3x + 4y - 11 = 0 are concurrent.

If the lines x - y + 1 = 0, 2x + 3y + 2 = 0 and ax + by - 2 = 0 are concurrent, then 5x + 10 = 0 passes through the point

If the lines x-y-1=0, 4x+3y=k and 2x-3y+1=0 are concurrent, then k is

For what value of k are the three st.lines : 2x+y-3=0 , 5x+ky-3=0 and 3x-y-2=0 are concurrent.