*value of a^2+1/a^2 is: -greater than 4 always , -less than 4 always , -greater than 2 always -less - Maths - Polynomials

Question

*value of a^2+1/a^2 is:
-greater than 4 always ,
-less than 4 always ,
-greater than 2 always
-less than 2 always

*value of a^2-1/a^2 is:
-greater than 4 always ,
-less than 4 always ,
-greater than 2 always
-less than 2 always

Anuradha Sharma · Accepted Answer

Since square of a quantity is greater than or equal to zero but here a2 is in Dr so it will be positive and we also know that x+1x>2 for x>0 Hence a2+1a2>2similarly a2-1a2>2

*value of a^2+1/a^2 is: -greater than 4 always , -less than 4 always , -greater than 2 always. -less than 2 always *value of a^2-1/a^2 is: -greater than 4 always , -less than 4 always , -greater than 2 always. -less than 2 always

value of a^2+1/a^2 is:
-greater than 4 always ,
-less than 4 always ,
-greater than 2 always.
-less than 2 always

value of a^2-1/a^2 is:
-greater than 4 always ,
-less than 4 always ,
-greater than 2 always.
-less than 2 always