Published by:
CGP EDU Academic Team
Published on: August 11, 2026
Column-I Column-II
A
The number of point (s) of maxima of f(x) = x 2 + 
is (p) 0
is (p) 0
B
(sin – 1 x) 3 + (cos – 1 x) 3 is maximum at x = (q) 2
C
If [a, b], (b < 1) is largest interval in which (r) 
f(x) = 3x 4 + 8x 3 – 6x 2 – 24x + 19 is strictly increasing then 
is
f(x) = 3x 4 + 8x 3 – 6x 2 – 24x + 19 is strictly increasing then is
D
If a + b = 8, a, b > 0 then minimum value of 
is (s) –1
is (s) –1
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
f ′ (x) = 2x – 
= 
No point of local maxima
Given expression = (sin – 1 x) 3 + (cos – 1 x) 3
= 
– 3sin – 1 x 
= 
(sin –1 x) 2 – 
sin –1 x + 
This is quadratic in sin –1 x. Therefore it will give maximum value when
sin –1 x = – 
⇒ x = –1
f’(x) = 12 (x + 2)(x + 1) (x – 1)
⇒ a = – 2, b = – 1
= 
= 
(3a 2 – 24a + 64)
Minimum 
is 
= 
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