If the straight lines `x+y-2-0,2x-y+1=0` and `a x+b y-c=0` are concurrent, then the family of lines `2a x+3b y+c=0(a , b , c)` are nonzero) is concurrent at (a) `(2,3)` (b) `(1/2,1/3)` (c) `(-1/6,-5/9)` (d) `(2/3,-7/5)`

Explanation

To solve the problem, we need to determine the conditions under which the lines given are concurrent. The lines are:

1. \( x + y - 2 = 0 \)
2. \( 2x - y + 1 = 0 \)
3. \( ax + by - c = 0 \)

### Step 1: Write the equations in standard form
The first two lines can be rewritten as:
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