If 
= f(x) – x f '(x), then f(x) is -
Text Solution
Verified by ExpertsA
C 2 – C 1 , C 3 – C 1 , C 4 – C 1 reduces the given det. In
D= 
= α 
–x
+x 
– x 
= – α (x – β ) (x – γ ) (x – δ ) – x (x – α ) (x – γ )
(x – δ ) – x (x – α ) (x – β ) (x – δ ) – (x – α )
(x – β ) (x – γ )
= α (x – β ) (x – γ ) (x – δ ) + x(x – β ) (x – γ ) (x – δ ) – x(x – β ) (x – γ ) (x – δ ) – x(x – α ) (x – γ ) (x – δ ) – x(x – α ) (x – β )
(x – δ ) – x (x – α ) (x – β ) (x – γ ) = (x – β ) (x – γ ) (x – δ )
(x – α ) – x[(x – α ) (x – β ) (x – γ ) + (x – β ) (x – γ ) (x – δ )
+ (x – γ ) (x – δ ) (x – α ) + (x – α ) (x – β ) (x – δ )]
= f(x) – x f '(x)
where f(x) = (x – α ) (x – β ) (x – γ ) (x – δ )
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems