Question

1.
Find the condition that the lines ax +hy+ g = 0, hx + by + 1 = 0, gx +fy + c = 0 are to be concurrert
VMERALD PA
sin
If the lines y
3y +-3
1
12​

Answer 1

Answer:

If lines

L1 : ax + hy + g = 0

L2 : hx + by + 1 = 0

L3 : gx + fy + c = 0

Then,

| a h g |

| h b 1 | = 0 .. (Derminant of the eq of lines)

| g f c |

» a (bc - f) - h (hc - g) + g (hf - gb) = 0

» abc - af - h²c + hg + ghf - g²b = 0

» abc - af - h²c - g²b + hg (1 + f) = 0

Is the required condition.