Q.

The number of integral values of k, for which one root of the equation 2x28x+k=0 lies in the interval (1, 2) and its other root lies in the interval (2, 3), is:

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a

2

b

1

c

0

d

3

answer is D.

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Detailed Solution

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f(x)=2x28x+k=0f(1)>0;f(3)>0 and f(2)<0
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f(1)=6+k>0k>6f(2)<0k8+k<0k<8f(3)>06+k>0k>6k(6,8)

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The number of integral values of k, for which one root of the equation 2x2−8x+k=0 lies in the interval (1, 2) and its other root lies in the interval (2, 3), is: