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`        Let f: R -> R be a function that satisfies for all x,y € RF(x+y)F(x-y) = [f(x) + f(y)]2 - 4x2f(x)Which of the following is not possible for f ?A) f(0)=0B) f(3)=9C) f(5)=0D) f(2)=2`
10 months ago

1672 Points
```							First of all put x=y= 0, and you will see that f(0)= 0. Now put y=0 and let x remain x. Then you will will get 4x^2f(x)=0 or f(x)=0Hence, f is identically zero. Therefore option B and D are not possible
```
10 months ago
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### Course Features

• 101 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions