Q.

Given that, for all real x, the expression x2-2x+4x2+2x+4 lies between 13 and 3. The values between which the expression 9.32x+6.3x+49.32x-6.3x+4lies are

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a

–1 and 1

b

0 and 2

c

1/3 and 3

d

–2 and 0

answer is A.

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Detailed Solution

Let y= x2−2x+4x2+2x+4∴ 13<y<y∴ 9.32x+6.3x+49.32x−6.3x+4= (−3.3x)2−2(−3.3x)+4(−3.3x)2+2(−3.3x)+4Let −3.3x=a then= a2−2a+4a2+2a+4= y

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