Question
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?
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।
