99 Percentile Qs Bank for JEE MainMathematicsContinuity and Differentiability

If f(x)= array ll k, & for x=1 (9 x-1)( x -1) 3 x^2+2 x-5 , & for x 1 array . is continuous on [0, ) , then k=

Options

A1 16
B1 8
C1 4
D1 2

Correct answer

D. 1 2

Step-by-step solution

We have, f(x) is continuous at x=1 k= _ x 1 (9 x-1)( x -1) 3 x^2+2 x-5 array ll & k= _ x 1 9 x^ 3 / 2 -9 x- x +1 3 x^2+2 x-5 & k= _ x 1 9 ( 3 2 x^ 1 / 2 )-9- 1 2 x 6 x+2 & k= 27 2 -9- 1 2 6+2 = 13-9 8 = 4 8 = 1 2 array

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