An operation θ is defined by the equationaθb=a+ba−b , for all numbers a and b such that a=−b. If a=−c and a θ c=0, then find the value of c.

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An operation is defined by the equation a b= { a-b }{ a+b

Question

An operation $θ$ is defined by the equation
$a θ b = \frac{a - b}{a + b}$ , for all numbers a and b such that $a \neq = - b$ . If $a \neq = - c$ and $a θ c = 0$ , then find the value of c.

- a

- \frac{1}{a}

0

\frac{1}{a}

a

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Mateo Discussed

An operation

θ

is defined by the equation

a θ b = \frac{a - b}{a + b}

, for all numbers a and b such that

a \neq = - b

. If

a \neq = - c

and

a θ c = 0

, then find the value of c.

11 mins ago

Discuss this question LIVE

11 mins ago

\frac{( a - c )}{( a + c )}

= 0 ----------Given

So, numerator

(a - c)

must be equal to 0

Thus, a = c OR c = a. (option E)

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Question Text	An operation $θ$ is defined by the equation $a θ b = \frac{a - b}{a + b}$ , for all numbers a and b such that $a \neq = - b$ . If $a \neq = - c$ and $a θ c = 0$ , then find the value of c.
Answer Type	Text solution:1
Upvotes	150