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Q.

If Rolle's theorem holds for the function ⨍ (x)=x3-ax2+bx-4, x∈1,2 with ⨍ '43=0 then the ordered pair (a, b) is equal to

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a

(5, 8)

b

(5, – 8)

c

(–5, – 8)

d

(–5, 8)

answer is C.

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Detailed Solution

f(1)=f(2)⇒1−a+b−4=8−4a+2b−4⇒3a−b=7……(1) Also f′(4/3)=0  (given) ⇒3x2−2ax+bx=4/3=0⇒163−8a3+b=0⇒8a−3b−16=0…..(2)a=5,b=8

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