Q. 225.0( 1 Vote )

# Mark the correct alternative in each of the following:Let f : R –{n} → R be a function defined by where m ≠ n. Then,A. f is one-one ontoB. f is one-one intoC. f is many one ontoD. f is many one into

Given that f : R –{n} R where

Let f(x) = f(y)

(x-m)(y-n)=(x-n)(y-m)

xy – xn – my + mn = xy – xm – ny + mn

x = y

So, f is one-one.

y(x-n)=(x-m)

xy – ny = x – m

x(y-1) = ny – m

For y = 1 , no x is defined.

So, f is into.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Functions - 0152 mins
Functions - 1047 mins
Functions - 0558 mins
Functions - 0748 mins
Inverse Trigonometric Functions - 0161 mins
Range of Functions58 mins
Functions - 0253 mins
Functions - 0361 mins
Functions - 0840 mins
Functions - 1252 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses