Question

find the numerical value of

a, b, c are distinct no.​

Answer 1

Answer:

$option \: (1) \: \: is \: correct.$

Step-by-step explanation:

${x}^{ \frac{1}{(a - b)} \times \frac{1}{(a - c)} } \times {x}^{ \frac{1}{(b - c)} \times \frac{1}{b - a} } \times {x}^{ \frac{1}{(c - a)} \times \frac{1}{c - b} } \\ \\ = {x}^{ \frac{1}{(b - a)} \times \frac{1}{(c - a)} } \times {x}^{ \frac{ - 1}{(c - b)} \times \frac{1}{b - a} } \times {x}^{ \frac{1}{(c - a)} \times \frac{1}{c - b} } \\ \\ = {x}^{ \frac{c - b - c + a + b - a}{(b - a)(c - a)(c - b)} } \\ \\ = {x}^{0 } = 1 \\ \\ option \: \: (1) \: \: is \: correct.$