If `ax^2-y^2+4x-y=0` represents a pair of lines , then a is equal to

Options

A. `-16`
B. `16`
C. `4`
D. `-4`

Answer

B

Explanation

Here , `a=a,h=0,b=-1,f=-(1)/(2),g=2,c=0`
Given equation represents a pair of straight line , if `|{:(a,0,2),(0,-1,-1//2),(2,-1//2,0):}|=0rArr a[0-((1)/(4))]-0+2[2]=0`
`therefore a=16`