Q.

If the graph of the function f(x)=ax−1xnax+1 is  symmetrical about the y -axis, then n equals

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

a

2

b

23

c

14

d

-13

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

fx=ax-1xnax+1fx is symmetric about y-axis . Thus , fx =f-x                                         ⇒ax-1xnax+1=a-x-1-xna-x+1                                                                =1-ax-x n1+ax                                             ⇒xn =- -xn                      Hence , the value of n which satisfies this relation is -13
Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon