Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
. Then the sum of which the squares of all the values of a for 2f'(10)-f'(5)+100=0 is:
Text Solution
Verified by ExpertsThe correct answer is:
C
= a [1 (a 2 + ax)+ 1 (ax + x 2 )]
f(x) = a (x + a) 2
so, f (x) = 2a (x + a)
as, 2f ’ (10)-f ’ (5)+ 100-0
2 x 2a (10 + a) - 2a (5 + a) + 100 = 0
40a + 4a 2 - 10a - 2a 2 + 100 = 0
2a 2 + 30a + 100 = 0
a 2 + 15a + 50 = 0
(a + 10) (a + 5) = 0
a = - 10 or a = -5
Required = (-10) 2 + (-5) 2 = 125
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