Home
Class 9
MATHS
If a=(sqrt(5)+1)/(sqrt(5)-1) and b=(sqrt...

If `a=(sqrt(5)+1)/(sqrt(5)-1)` and `b=(sqrt(5)-1)/(sqrt(5)+1)` , the value of `((a^(2)+ab+b^(2))/(a^(2)-ab+b^(2)))` is

Text Solution

Verified by Experts

The correct Answer is:
`(4)/(3)`
Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEMS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Subjective problems) (long answer type)|5 Videos

  • NUMBER SYSTEMS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Integer Numerical value type)|10 Videos

  • NUMBER SYSTEMS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Subjective problems) (Very short answer type)|10 Videos

  • LINES AND ANGLES

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER|20 Videos

  • POLYNOMIALS

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|20 Videos

Similar Questions

Explore conceptually related problems

If a=(sqrt(3)+1)/(sqrt(3)-1) and b=(sqrt(3)-1)/(sqrt(3)+1) ,find the value of a^(2)+ab-b^(2)

If x=(sqrt(5)+1)/(sqrt(5)-1) and y=(sqrt(5)-1)/(sqrt(5)+1) find the value of x^(2)+y^(2)

If a=(3-sqrt(5))/(3+sqrt(5)) and b=(3+sqrt(5))/(3-sqrt(5)) ,find the value of a^(2)+b^(2)

If a=(sqrt(2)+1)/(sqrt(2)-1) and b=(sqrt(2)-1)/(sqrt(2)+1) ,then find the value of a^(2)+b^(2)-4ab

If a=(sqrt(2)+1)/(sqrt(2)-1)"and"b=(sqrt(2)-1)/(sqrt(2)+1) then value of a^(2)+ab+b^(2) is