If P = (v7 - v6)/(v7 + v6), then what is the value of P + (1/P)?

यदि P = (√7 - √6)/(√7 + √6), तो P + (1/P) का मान क्या है?

A.12(12)

B.13(13)

C.24(24)

D.26(26)

Answer

D. P = (√7 - √6)/(√7 + √6) = P + (1/P) = (√7 - √6)/(√7 + √6) +[1/(√7 - √6)/(√7 + √6) ] =(√7 - √6)/(√7 + √6) +(√7 + √6)/(√7 - √6) =7+6-2√42 +7+6+2√42/7-6 =13+13 =26 So the correct answer is option D.

D. P = (√7 - √6)/(√7 + √6) = P + (1/P) = (√7 - √6)/(√7 + √6) +[1/(√7 - √6)/(√7 + √6) ] =(√7 - √6)/(√7 + √6) +(√7 + √6)/(√7 - √6) =7+6-2√42 +7+6+2√42/7-6 =13+13 =26 इसलिए सही उत्तर विकल्प D है।