99 Percentile Qs Bank for JEE MainMathematicsApplication of Derivatives

The function y = x 4 - 8 x 3 + 22 x 2 - 24 x + 10 attains local maximum or minimum at x = a , x = b and x = c a < b < c . Then a , b and c are in

Options

AGeometric progression
BHarmonic progression
CArithmetic progression
DNone of these

Correct answer

C. Arithmetic progression

Step-by-step solution

d y d x = 4 x 3 - 24 x 2 + 44 x - 24 = 4 x 3 - 6 x 2 + 11 x - 6 = 4 x - 1 x - 2 x - 3 So, d y d x = 0 at x = 1, 2 , 3 which are the points of local extremum. i.e., a = 1 b = 2 c = 3 Hence, a , b , c are in A P

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