Question

Value of a for which a\|a|=-1

Answer 1

Answer:

a < 0

Step-by-step explanation:

|a| = a if a≥0

= -a if a<0 ............... (1)

⇔ a/|a| = a/a if a>0

= a/(-a) if a<0

⇔ a/|a| = 1 if a>0

= -1 if a< 0

Hence a/|a| = -1 when a < 0

Another Method

a/|a| = -1

⇒ a = - |a|

⇒ |a| = -a

By definition of modulus function i.e. (1)

a < 0