If x∈R, then maximum value of (\sqrt 5 -x + 3 )(\sqrt5 + x -3) is

SSC CGL Model Paper 5

Question : 62 of 100

Marks: +1, -0

If x∈R, then maximum value of

(√ 5 -x + 3 )(√5 + x -3)

Solution:

[√ 5 -(x + 3 )][√5 + (x -3)]

=(√5)^2-(x-3)^2

= 5 - (x - 3)^2

For max. value, put x=3, which is a real no.
∴ maximum value = 5

Go to Question:

Prev Question

Next Question