Question

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

Answer 1

Answer:

             ⇒  The value of k is 3/2

Step-by-step explanation:

The given lines are

x + 0 y - 1 = 0

0 x + y + 2 = 0

4 x + k y - 1 = 0

∵ The lines are concurrent, so

$\left[\begin{array}{ccc}1&0&-1\\0&1&2\\4&k&-1\end{array}\right]=0\\ \\1(-1-2k)-0+(-1)(0-4)=0\\\\-1-2k-1(-4)=0\\\\-1-2k+4=0\\\\-2k+3=0\\\\-2k=-3\\\\2k=3\\\\k=3/2$

The lines will be concurrent if the value of k is 3/2.

I hope it will help you.

Answer 2

Answer:

k=3/2

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